A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?a)3/8b)1/16c)1/8d)1/2e)1/4Correct answer is option 'D'. Can you explain this answer?

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A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?

a)
3/8
b)
1/16
c)
1/8
d)
1/2
e)
1/4

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

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A coin has two sides. One side has the number 1 on it and the other si...

One approach to solve the problem is to list the different possibilities for a toss of coin three times. Because there are two outcomes and the coin is tossed three times, the table will have 2 x 2 x 2 or 8 rows.
Next add the resulting rows together to find the sum (the fourth column in the table below).
From the table we see that there are 4 situations where the sum of the tosses will be greater than 4. And there are 8 possible combinations resulting in a probability of
4/8 or a probability of 1/2. SO the correct answer is D.

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Most Upvoted Answer

A coin has two sides. One side has the number 1 on it and the other si...

Probability of getting the sum greater than 4
To find the probability of getting a sum greater than 4 when flipping the coin three times, we need to consider all the possible outcomes.

Possible outcomes
When flipping a coin, there are a total of 2 possible outcomes for each flip - either a 1 or a 2. Since we are flipping the coin 3 times, the total number of possible outcomes is 2 * 2 * 2 = 8.

Favorable outcomes
To get a sum greater than 4, we need to consider the outcomes where the sum of the numbers on the landing side of the coin is greater than 4. These outcomes are:
- 2 + 2 + 2 = 6

Calculating the probability
The probability of getting a sum greater than 4 is given by the number of favorable outcomes divided by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 (favorable outcomes) / 8 (total possible outcomes)
Probability = 1/8
Therefore, the probability of getting a sum greater than 4 when flipping the coin three times is 1/8, which corresponds to option 'D'.

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A coin has two sides. One side has the number 1 on it and the other si...

One approach to solve the problem is to list the different possibilities for a toss of coin three times. Because there are two outcomes and the coin is tossed three times, the table will have 2 x 2 x 2 or 8 rows.
Next add the resulting rows together to find the sum (the fourth column in the table below).
From the table we see that there are 4 situations where the sum of the tosses will be greater than 4. And there are 8 possible combinations resulting in a probability of
4/8 or a probability of 1/2. SO the correct answer is D.

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A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?a)3/8b)1/16c)1/8d)1/2e)1/4Correct answer is option 'D'. 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 A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?a)3/8b)1/16c)1/8d)1/2e)1/4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 4?a)3/8b)1/16c)1/8d)1/2e)1/4Correct answer is option 'D'. Can you explain this answer?.

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