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If the overall percentage of success in an exam is 60, what is the probability that out of agroup of 4 students, at least one has passed?
- a)0.6525
- b)0.9744
- c)0.8704
- d)0.0256
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If the overall percentage of success in an exam is 60, what is the pro...
This is a Binomial Probability Distribution; n=4, p=0.6. The probability of at least 1 passed is equal to the probability of 1-none passed; so x=0. The probability of x=0 (with n=4, p=0.6) is 0.0256. So, the probability of at least 1 passed is 1-0.0256 or 0.9744.
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If the overall percentage of success in an exam is 60, what is the pro...
Solution:
Given, the overall percentage of success in an exam is 60.
Therefore, the probability of passing the exam is 0.6.
We need to find the probability that at least one out of four students has passed the exam.
Using the complement rule, we can find the probability that none of the four students have passed the exam.
P(None have passed) = (0.4)^4 = 0.0256
Therefore, the probability that at least one out of four students has passed the exam is:
P(At least one has passed) = 1 - P(None have passed)
= 1 - 0.0256
= 0.9744
Hence, the correct option is (B) 0.9744.
Given, the overall percentage of success in an exam is 60.
Therefore, the probability of passing the exam is 0.6.
We need to find the probability that at least one out of four students has passed the exam.
Using the complement rule, we can find the probability that none of the four students have passed the exam.
P(None have passed) = (0.4)^4 = 0.0256
Therefore, the probability that at least one out of four students has passed the exam is:
P(At least one has passed) = 1 - P(None have passed)
= 1 - 0.0256
= 0.9744
Hence, the correct option is (B) 0.9744.
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Community Answer
If the overall percentage of success in an exam is 60, what is the pro...
N= 4
x=0
p=60/100=0.6
q=40/100=0.4
0.4sequre 4
0.4×0.40×0.40×0.4= 0.0256
1- 0.0256
= 0.9744 Ans
x=0
p=60/100=0.6
q=40/100=0.4
0.4sequre 4
0.4×0.40×0.40×0.4= 0.0256
1- 0.0256
= 0.9744 Ans
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If the overall percentage of success in an exam is 60, what is the probability that out of agroup of 4 students, at least one has passed?a)0.6525b)0.9744c)0.8704d)0.0256Correct answer is option 'B'. Can you explain this answer?
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