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What is the probability of making 3 correct guesses in 5 True – False answer type questions?
- a)0.3125.
- b)0.5676.
- c)0.6875.
- d)0.4325
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
What is the probability of making 3 correct guesses in 5 True – ...
Solution:
The probability of making a correct guess for a True or False question is 1/2 or 0.5.
To solve the problem, we can use the binomial probability formula:
P(X=k) = nCk * p^k * (1-p)^(n-k)
where:
P(X=k) is the probability of getting k correct guesses
n is the total number of questions
k is the number of correct guesses
p is the probability of making a correct guess (0.5)
(1-p) is the probability of making an incorrect guess (0.5)
Applying the formula, we get:
P(X=3) = 5C3 * 0.5^3 * 0.5^2
P(X=3) = 10 * 0.125 * 0.25
P(X=3) = 0.3125 or 31.25%
Therefore, the probability of making 3 correct guesses in 5 True or False questions is 0.3125 or 31.25%.
Answer: (a) 0.3125.
The probability of making a correct guess for a True or False question is 1/2 or 0.5.
To solve the problem, we can use the binomial probability formula:
P(X=k) = nCk * p^k * (1-p)^(n-k)
where:
P(X=k) is the probability of getting k correct guesses
n is the total number of questions
k is the number of correct guesses
p is the probability of making a correct guess (0.5)
(1-p) is the probability of making an incorrect guess (0.5)
Applying the formula, we get:
P(X=3) = 5C3 * 0.5^3 * 0.5^2
P(X=3) = 10 * 0.125 * 0.25
P(X=3) = 0.3125 or 31.25%
Therefore, the probability of making 3 correct guesses in 5 True or False questions is 0.3125 or 31.25%.
Answer: (a) 0.3125.
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Community Answer
What is the probability of making 3 correct guesses in 5 True – ...
Correct answer is option a)
Solution is --
Let the 'n' be the total T/F questions and 'x' be the
guesses.
Then n=5 and x=3
Let probability of possibilities of true be 'p' and false be 'q'
then p= 1/2 =q
the prob. of making 3guesses => P(x=3)
The formula is => ^n C 3* p^3*q^n-3
(after substitution)
=>10*1/8*1/4
=>5/16
=0.3125. Option (a) is right answer
Solution is --
Let the 'n' be the total T/F questions and 'x' be the
guesses.
Then n=5 and x=3
Let probability of possibilities of true be 'p' and false be 'q'
then p= 1/2 =q
the prob. of making 3guesses => P(x=3)
The formula is => ^n C 3* p^3*q^n-3
(after substitution)
=>10*1/8*1/4
=>5/16
=0.3125. Option (a) is right answer
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