In a primary school 70% of the boys and 55% of the girls can ride a bike. If a boy and a girl has chosen at random. What is the probability that both of them can ride a bicycle

1 answer

Let's denote the probability that a randomly chosen boy can ride a bike as P(boy can ride bike), and the probability that a randomly chosen girl can ride a bike as P(girl can ride bike).

Given that 70% of the boys can ride a bike, we can find P(boy can ride bike) = 0.70.

Similarly, given that 55% of the girls can ride a bike, we can find P(girl can ride bike) = 0.55.

To find the probability that both of them can ride a bicycle, we need to multiply the probabilities:
P(both can ride bike) = P(boy can ride bike) * P(girl can ride bike)
= 0.70 * 0.55
= 0.385

Therefore, the probability that both the boy and the girl can ride a bicycle is 0.385, or 38.5%.