In primary school,70% of the boys and 55%of the girls can ride a bicycle.if the boy and girl are chosen at random what is the probability that both of them can ride a bicycle
Let A be the event that a boy can ride a bicycle and B be the event that a girl can ride a bicycle. Then,
P(A) = 0.7 (given)
P(B) = 0.55 (given)
We need to find P(A and B), the probability that both a boy and a girl can ride a bicycle. Since they are chosen at random, we can assume that the events A and B are independent. Therefore,
P(A and B) = P(A) x P(B)
= 0.7 x 0.55
= 0.385
Therefore, the probability that both a boy and a girl chosen at random from the primary school can ride a bicycle is 0.385 or 38.5%.
To find the probability that both a boy and a girl can ride a bicycle when chosen at random, we need to multiply the probabilities of each event.
Given:
Probability that a boy can ride a bicycle (B) = 70% = 0.70
Probability that a girl can ride a bicycle (G) = 55% = 0.55
P(both can ride a bicycle) = P(B and G)
Therefore, P(both can ride a bicycle) = P(B) * P(G)
P(both can ride a bicycle) = 0.70 * 0.55
P(both can ride a bicycle) = 0.385
So, the probability that both a randomly chosen boy and girl can ride a bicycle is 0.385 or 38.5%.