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The probability of two persons of passing the interview are 1/3 and 3/5. Then calculate the probability that only one of them pass the interview ?
- a)7/15
- b)8/15
- c)11/15
- d)13/15
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The probability of two persons of passing the interview are 1/3 and 3/...
(P = pass, F = fail)
ApassBfail + AfailBpass
PF + FP
1/3*2/5 + 2/3*3/5 = 8/15
ApassBfail + AfailBpass
PF + FP
1/3*2/5 + 2/3*3/5 = 8/15
Most Upvoted Answer
The probability of two persons of passing the interview are 1/3 and 3/...
Solution:
We are given that the probability of first person passing the interview is 1/3 and the probability of second person passing the interview is 3/5.
Let A be the event that the first person passes the interview and B be the event that the second person passes the interview.
We need to find the probability that only one of them passes the interview. Let C be the event that only one of them passes the interview.
We can calculate the probability of C using the following formula:
P(C) = P(A) × P(B') + P(A') × P(B)
where P(B') is the probability of B not happening and P(A') is the probability of A not happening.
Now, we can substitute the values of P(A) and P(B) in the above formula:
P(C) = (1/3) × (2/5) + (2/3) × (3/5)
Simplifying the above expression, we get:
P(C) = 2/15 + 6/15
P(C) = 8/15
Therefore, the probability that only one of them passes the interview is 8/15.
Hence, the correct answer is option 'B'.
We are given that the probability of first person passing the interview is 1/3 and the probability of second person passing the interview is 3/5.
Let A be the event that the first person passes the interview and B be the event that the second person passes the interview.
We need to find the probability that only one of them passes the interview. Let C be the event that only one of them passes the interview.
We can calculate the probability of C using the following formula:
P(C) = P(A) × P(B') + P(A') × P(B)
where P(B') is the probability of B not happening and P(A') is the probability of A not happening.
Now, we can substitute the values of P(A) and P(B) in the above formula:
P(C) = (1/3) × (2/5) + (2/3) × (3/5)
Simplifying the above expression, we get:
P(C) = 2/15 + 6/15
P(C) = 8/15
Therefore, the probability that only one of them passes the interview is 8/15.
Hence, the correct answer is option 'B'.
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The probability of two persons of passing the interview are 1/3 and 3/5. Then calculate the probability that only one of them pass the interview ?a)7/15b)8/15c)11/15d)13/15Correct answer is option 'B'. Can you explain this answer?
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