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What is the probability of making 3 correct guesses in 5 True - False answer type questions ?
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What is the probability of making 3 correct guesses in 5 True - False ...
Probability of getting 3 correct guesses in 5 True-False questions
When solving probability problems, we need to first identify the total number of possible outcomes, and then determine how many of those outcomes satisfy the desired condition. In this case, we have:
- 5 True-False questions, each with 2 possible answers
- Total number of possible outcomes = 2 x 2 x 2 x 2 x 2 = 32
Next, we need to determine how many ways we can get 3 correct guesses out of 5 questions. To do this, we can use the combination formula:
- nCr = n! / (r! * (n-r)!)
- where n = total number of options, r = number of choices
Using this formula, we have:
- Number of ways to get 3 correct guesses = 5C3 = 5! / (3! * (5-3)!) = 10
Finally, we can calculate the probability of getting 3 correct guesses by dividing the number of ways to get 3 correct guesses by the total number of possible outcomes:
- Probability of getting 3 correct guesses = 10 / 32 = 0.3125 or 31.25%
Therefore, the probability of making 3 correct guesses in 5 True-False questions is 31.25%.
Community Answer
What is the probability of making 3 correct guesses in 5 True - False ...
Here n=5 ,x=3 ,p=1/2 ,q=1/2
p(3)=5×(1/2)^(5-3)×(1/2)^3
p(3)=5/2^5
p(3)=5/32
p(3)=5×(1/2)^(5-3)×(1/2)^3
p(3)=5/2^5
p(3)=5/32
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What is the probability of making 3 correct guesses in 5 True - False answer type 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 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 questions ?.
What is the probability of making 3 correct guesses in 5 True - False answer type 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 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 questions ?.
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