Question

A and b are two candidates seeking admission in a college .the probability that a is selected is 0.7 and probability that exactly one of them is selected is 0.6 .find the probability that only one of them is selected

Answer 1

The probability that A is selected is 0.7, So the probability that B is selected will be (1-0.7=0.3).Therefore the probability that exactly one of them is selected is A

Answer 2

Answer:

Probability that only one of them is selected = 0.825

Step-by-step explanation:

P(A) = 0.7

Let P(B) = p

the probability that exactly one of them is selected is 0.6

⇒ A is selected and B is not selected OR B is selected and B is not selected = 0.6

⇒ P(A)[1 - p] + p[1 - P(A)] = 0.6

⇒ 0.7 - 0.7p + p - 0.7p = 0.6

⇒ 0.4p = 0.1

⇒ p = 0.25

⇒ P(B) = 0.25

Therefore, The probability that B is selected = 0.25

Now, Probability that only one of them is selected = 1 - Probability that both of them is selected

⇒ Probability that only one of them is selected = 1 - 0.25 × 0.7

⇒ Probability that only one of them is selected = 0.825