Alex participates in a shooting competition and makes n attempts to shoot a target. Is the probability that he will shoot the target in all the n attempts that he makes, greater than 50%? Alex has a 80% chance of shooting the target in every attempt that he makes. He makes 7 attempts in total. a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?

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Alex participates in a shooting competition and makes n attempts to shoot a target. Is the probability that he will shoot the target in all the n attempts that he makes, greater than 50%?

Alex has a 80% chance of shooting the target in every attempt that he makes.
He makes 7 attempts in total.

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.

Correct answer is option 'C'. Can you explain this answer?

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Verified Answer

Alex participates in a shooting competition and makes n attempts to sh...

This is a DS question on the concept of probability. So, we will apply the A-B-C approach that we have learnt for Probability questions within the 5-step framework that we universally apply for all DS questions.

Steps 1&2: Understand the question and draw inferences

We know that Alex makes n attempts to shoot the target.

We need to determine the probability that he shoots the target in each of the n attempts.

Let us follow the A-B-C approach to answer this question.

Step A: Write Probability Event Equation

In order to do so, we should list all the events.

Event 1: Alex shoots the target in 1^st attempt

Event 2: Alex shoots the target in 2^nd attempt, and so on. . .

Event n: Alex shoots the target in nth attempt

Now, we should determine whether ‘AND’ or ‘OR’ applies.

The question statement asks about the probability of Alex shooting the target in everyattempt. So, he needs to shoot the target in the 1^st attempt AND in the 2^nd attempt and so on. . .

So, the Probability Event Equation will be:

P(Alexshootingthetargetineveryattempt)=P(Event1)×P(Event2)×...×P(Eventn)

Step B: Determine Probabilities of individual events

From the question statement, we do not know:

i) What is the probability of his shooting the target in every attempt

ii) Whether the probability of his shooting the target is equal for every attempt or different

So, let us assume that:

The probability of his shooting the target the first attempt = P₁

The probability of his shooting the target in the second attempt = P₂ . . .

The probability of his shooting the target in the nth attempt = P_n

Step C: Plug values of Individual Event Probabilities in the Event Equation

Thus, the Event Equation becomes:

P(Alexshootingthetargetineveryattempt)=P1×P2×...×Pn

.......Equation 1

The question asks us whether P(Alex shooting the target in every attempt) is greater than 0.50

In order to answer this question, we need to know the values of P₁, P₂ . . . P_n

Step 3: Analyze Statement 1 independently

Alex has 80% chance of hitting the target in every attempt that he makes

From this statement, we get:

P₁= P₂= . . . P_n = 0.80

So, Equation 1 becomes:

P(Alex shooting the target in each attempt) = 0.8× 0.8× 0.8...n times

P(Alexshootingthetargetineachattempt)=(0.8)n

Since we do not know the value of n, we will not be able to determine if

P(Alex shooting the target in each attempt ) >0.5

Thus, Statement 1 alone is not sufficient to answer the question.

Step 4: Analyze Statement 2 independently

He makes 7 attempts in total

From this statement, we get n = 7

Thus, from Equation 1, we get:

P(Alex shooting the target in each attempt) =P1×P2×...×P7

However, this statement gives us no clue about the values of P₁, P₂ . . . P₇

Thus, Statement 2 alone is clearly not sufficient to answer the question.

Step 5: Analyze both statements together (if needed)

From Statement 1,

P(Alex shooting the target in each attempt) =(0.8)n

From Statement 2,

n = 7

By combining both statements, we get:

P(Alex shooting the target in each attempt) =(0.8)7

From this equation, we will be able to determine the exact numerical value of the probability that Alex shoots the target in every attempt. Therefore, we will also be able to determine if this value is greater than 0.50 or not.

Thus, both statements together are sufficient to answer the question.

Answer: Option (C)

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Most Upvoted Answer

Alex participates in a shooting competition and makes n attempts to sh...

Steps 1&2: Understand the question and draw inferences

We know that Alex makes n attempts to shoot the target.

We need to determine the probability that he shoots the target in each of the n attempts.

Let us follow the A-B-C approach to answer this question.

Step A: Write Probability Event Equation

In order to do so, we should list all the events.

Event 1: Alex shoots the target in 1^st attempt

Event 2: Alex shoots the target in 2^nd attempt, and so on. . .

Event n: Alex shoots the target in nth attempt

Now, we should determine whether ‘AND’ or ‘OR’ applies.

The question statement asks about the probability of Alex shooting the target in everyattempt. So, he needs to shoot the target in the 1^st attempt AND in the 2^nd attempt and so on. . .

So, the Probability Event Equation will be:

P(Alexshootingthetargetineveryattempt)=P(Event1)×P(Event2)×...×P(Eventn)

Step B: Determine Probabilities of individual events

From the question statement, we do not know:

i) What is the probability of his shooting the target in every attempt

ii) Whether the probability of his shooting the target is equal for every attempt or different

So, let us assume that:

The probability of his shooting the target the first attempt = P₁

The probability of his shooting the target in the second attempt = P₂ . . .

The probability of his shooting the target in the nth attempt = P_n

Step C: Plug values of Individual Event Probabilities in the Event Equation

Thus, the Event Equation becomes:

P(Alexshootingthetargetineveryattempt)=P1×P2×...×Pn

.......Equation 1

The question asks us whether P(Alex shooting the target in every attempt) is greater than 0.50

In order to answer this question, we need to know the values of P₁, P₂ . . . P_n

Step 3: Analyze Statement 1 independently

Alex has 80% chance of hitting the target in every attempt that he makes

From this statement, we get:

P₁= P₂= . . . P_n = 0.80

So, Equation 1 becomes:

P(Alex shooting the target in each attempt) = 0.8× 0.8× 0.8...n times

P(Alexshootingthetargetineachattempt)=(0.8)n

Since we do not know the value of n, we will not be able to determine if

P(Alex shooting the target in each attempt ) >0.5

Thus, Statement 1 alone is not sufficient to answer the question.

Step 4: Analyze Statement 2 independently

He makes 7 attempts in total

From this statement, we get n = 7

Thus, from Equation 1, we get:

P(Alex shooting the target in each attempt) =P1×P2×...×P7

However, this statement gives us no clue about the values of P₁, P₂ . . . P₇

Thus, Statement 2 alone is clearly not sufficient to answer the question.

Step 5: Analyze both statements together (if needed)

From Statement 1,

P(Alex shooting the target in each attempt) =(0.8)n

From Statement 2,

n = 7

By combining both statements, we get:

P(Alex shooting the target in each attempt) =(0.8)7

Thus, both statements together are sufficient to answer the question.

Answer: Option (C)

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Alex participates in a shooting competition and makes n attempts to sh...

Steps 1&2: Understand the question and draw inferences

We know that Alex makes n attempts to shoot the target.

We need to determine the probability that he shoots the target in each of the n attempts.

Let us follow the A-B-C approach to answer this question.

Step A: Write Probability Event Equation

In order to do so, we should list all the events.

Event 1: Alex shoots the target in 1^st attempt

Event 2: Alex shoots the target in 2^nd attempt, and so on. . .

Event n: Alex shoots the target in nth attempt

Now, we should determine whether ‘AND’ or ‘OR’ applies.

The question statement asks about the probability of Alex shooting the target in everyattempt. So, he needs to shoot the target in the 1^st attempt AND in the 2^nd attempt and so on. . .

So, the Probability Event Equation will be:

P(Alexshootingthetargetineveryattempt)=P(Event1)×P(Event2)×...×P(Eventn)

Step B: Determine Probabilities of individual events

From the question statement, we do not know:

i) What is the probability of his shooting the target in every attempt

ii) Whether the probability of his shooting the target is equal for every attempt or different

So, let us assume that:

The probability of his shooting the target the first attempt = P₁

The probability of his shooting the target in the second attempt = P₂ . . .

The probability of his shooting the target in the nth attempt = P_n

Step C: Plug values of Individual Event Probabilities in the Event Equation

Thus, the Event Equation becomes:

P(Alexshootingthetargetineveryattempt)=P1×P2×...×Pn

.......Equation 1

The question asks us whether P(Alex shooting the target in every attempt) is greater than 0.50

In order to answer this question, we need to know the values of P₁, P₂ . . . P_n

Step 3: Analyze Statement 1 independently

Alex has 80% chance of hitting the target in every attempt that he makes

From this statement, we get:

P₁= P₂= . . . P_n = 0.80

So, Equation 1 becomes:

P(Alex shooting the target in each attempt) = 0.8× 0.8× 0.8...n times

P(Alexshootingthetargetineachattempt)=(0.8)n

Since we do not know the value of n, we will not be able to determine if

P(Alex shooting the target in each attempt ) >0.5

Thus, Statement 1 alone is not sufficient to answer the question.

Step 4: Analyze Statement 2 independently

He makes 7 attempts in total

From this statement, we get n = 7

Thus, from Equation 1, we get:

P(Alex shooting the target in each attempt) =P1×P2×...×P7

However, this statement gives us no clue about the values of P₁, P₂ . . . P₇

Thus, Statement 2 alone is clearly not sufficient to answer the question.

Step 5: Analyze both statements together (if needed)

From Statement 1,

P(Alex shooting the target in each attempt) =(0.8)n

From Statement 2,

n = 7

By combining both statements, we get:

P(Alex shooting the target in each attempt) =(0.8)7

Thus, both statements together are sufficient to answer the question.

Answer: Option (C)

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Alex participates in a shooting competition and makes n attempts to shoot a target. Is the probability that he will shoot the target in all the n attempts that he makes, greater than 50%? Alex has a 80% chance of shooting the target in every attempt that he makes. He makes 7 attempts in total. a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?

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Alex participates in a shooting competition and makes n attempts to shoot a target. Is the probability that he will shoot the target in all the n attempts that he makes, greater than 50%? Alex has a 80% chance of shooting the target in every attempt that he makes. He makes 7 attempts in total. a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Alex participates in a shooting competition and makes n attempts to shoot a target. Is the probability that he will shoot the target in all the n attempts that he makes, greater than 50%? Alex has a 80% chance of shooting the target in every attempt that he makes. He makes 7 attempts in total. a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alex participates in a shooting competition and makes n attempts to shoot a target. Is the probability that he will shoot the target in all the n attempts that he makes, greater than 50%? Alex has a 80% chance of shooting the target in every attempt that he makes. He makes 7 attempts in total. a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?.

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