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What is the probability of making 3 correct guesses in 5 true false answer type of questions?
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What is the probability of making 3 correct guesses in 5 true false an...
As u know probablity of right or wrong guess same =1/2 so 5C2*(1/2)^5 is answer
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What is the probability of making 3 correct guesses in 5 true false an...
Probability of Making 3 Correct Guesses in 5 True/False Questions
To calculate the probability of making 3 correct guesses in 5 true/false questions, we can use the binomial probability formula.
- Number of Trials (n): 5 questions
- Number of Successes (k): 3 correct guesses
- Probability of Success (p): 0.5 (since it is a true/false question, the probability of guessing correctly is 0.5)
- Probability of Failure (q): 0.5
Calculating Probability
The formula to calculate the probability of getting exactly k successes in n trials is:
P(k successes) = (n choose k) * p^k * q^(n-k)
Substitute the values into the formula:
P(3 successes) = (5 choose 3) * (0.5)^3 * (0.5)^(5-3)
P(3 successes) = (5!/(3!(5-3)!)) * (0.5)^3 * (0.5)^2
P(3 successes) = (10) * (0.125) * (0.25)
P(3 successes) = 0.3125 or 31.25%
Therefore, the probability of making 3 correct guesses in 5 true/false questions is 31.25%.
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What is the probability of making 3 correct guesses in 5 true false answer type of questions? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about What is the probability of making 3 correct guesses in 5 true false answer type of questions? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the probability of making 3 correct guesses in 5 true false answer type of questions?.
What is the probability of making 3 correct guesses in 5 true false answer type of questions? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about What is the probability of making 3 correct guesses in 5 true false answer type of questions? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the probability of making 3 correct guesses in 5 true false answer type of questions?.
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