Sumit and his friend Bhargav appear in an interview for two vacancies in the same post. The probability of Sumit's selection is (1/7) and the probability of Bhargav's selection is (1/5). What is the probability that only one of them is selected ?
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Answer:
11 / 35.
Step-by-step explanation:
Using the first theorem of probability, we know that for any two events A and B that are not affected or governed by each other, the probability of both events taking place together P(A+B) when P(A) is the probability of A only taking place and P(B) is the probability of only B taking place, is given as follows,:
P(A+B) = P(A) x P(B)
Also, the probability theorem states that the probability of only either of the two mutually exclusive events taking place is:
P(A or B only) = P(A) + P(B) – P(A+B)
Substituting known values, we get the answer to be:
P(A or B only) = 11 / 35
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refer to the pic to know answer
if handwriting isn't good, sorry❤
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