Q. 225.0( 2 Votes )

The probabilities

Answer :

As A and B are independent events, so A’ and B’ are also independent.


We know that if A and B are independent events then


P(A B) = P(A)P(B)


As we have to find the probability of the event such that only one of them come to the school on time.


P(required event) = P(A’ ∩ B) + P(A B’)


As A and B are independent events


P(required event) = P(A’)P(B) + P(A)P(B’)


As, P(A) = 3/7 P(A’) = 1 - 3/7 = 4/7


And P(B) = 5/7 P(B’) = 1 – 5/7 = 2/7


P(required event) =


Thus,


P(required event) = 26/49


Benefit of coming school on time – by doing this we learn the value of time and importance of discipline


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