The probability that a boy will pass an examination is 3/5 and that of

1.	The probability that a boy will pass an examination is 3/5 and that of a girl is 2/5.Find the probability that(i) both of them passes the examination (ii) at least one of them passes the examination.
Answer» (i) P(Boy and Girl passes examination) = P(B ∩G) = P(B) x P(G) = 3/5 x 2/5 = 6/25. (ii) P (at lest one of them passes the examination) = P(A ∪B) = P(A) + P(B) – P(A ∩B) P(B ∪G) = P(B) + P(G) – P(B ∩G) = 3/5 + 2/5 - 6/25 = (3 x 5 + 2 x 5 -6/25) = 19/25 = 0.76.

The probability that a boy will pass an examination is 3/5 and that of a girl is 2/5.Find the probability that(i) both of them passes the examination (ii) at least one of them passes the examination.

Answer»

(i) P(Boy and Girl passes examination)

= P(B ∩G) = P(B) x P(G) = 3/5 x 2/5 = 6/25.

(ii) P (at lest one of them passes the examination)

= P(A ∪B) = P(A) + P(B) – P(A ∩B)

P(B ∪G) = P(B) + P(G) – P(B ∩G)

= 3/5 + 2/5 - 6/25 = (3 x 5 + 2 x 5 -6/25)

= 19/25 = 0.76.

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The probability that a boy will pass an examination is 3/5 and that of a girl is 2/5.Find the probability that(i) both of them passes the examination (ii) at least one of them passes the examination.

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