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
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%.
To find the probability that both a boy and a girl can ride a bicycle, we will multiply the probabilities of each event.
Let's assume there are 100 boys and 100 girls in the primary school.
Out of 100 boys, 70% can ride a bike, which is 0.70. This means that 0.70 x 100 = 70 boys can ride a bicycle.
Out of 100 girls, 55% can ride a bike, which is 0.55. This means that 0.55 x 100 = 55 girls can ride a bicycle.
The probability that a randomly chosen boy can ride a bicycle is 70/100, which simplifies to 0.70.
The probability that a randomly chosen girl can ride a bicycle is 55/100, which simplifies to 0.55.
To find the probability that both of them can ride a bicycle, we multiply 0.70 x 0.55:
0.70 x 0.55 = 0.385
So, the probability that both a randomly chosen boy and girl from the primary school can ride a bicycle is 0.385, or 38.5%.
To find the probability that both the boy and the girl can ride a bicycle, we need to multiply the individual probabilities of each event occurring together.
Let's denote:
P(B) = Probability that a randomly chosen student is a boy
P(G) = Probability that a randomly chosen student is a girl
Given information:
P(B can ride a bike) = 70%
P(G can ride a bike) = 55%
To find the probability that both a boy and a girl can ride a bicycle, we need to calculate:
P(both can ride a bike) = P(B can ride a bike) * P(G can ride a bike)
So, the probability that both a boy and a girl can ride a bicycle is:
P(both can ride a bike) = 70% * 55% = 0.70 * 0.55 = 0.385
Therefore, the probability that both a boy and a girl can ride a bicycle is 0.385, or 38.5%.