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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?
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.
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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
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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)0.4325Correct answer is option 'A'. Can you explain this answer?
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