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  • If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is A. > . 5 B. .5 C. ≤ .5 D. 0

If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is
A. >0 . 5
B. 0.5
C. ≤ 0.5
D. 0

Answers (1)

Let us consider that-

E1 → event that A fails in the examination

& E2 → event that B fails in the examination

Thus,

P (E1) = 0.2

P (E2) = 0.3

To find: P (either E1 or E2 fails)

Thus, P (either E1 or E2 fails) = P (E1) + P (E2) – P (E1 ∩ E2)

≤ P(E1) + P (E2)

≤ 0.2 + 0.3

≤ 0.5

Thus, option C is the correct answer.

Posted by

infoexpert22

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