shows the working in a primary school 70% of the boys and 55% of the girls can ride a bicycle if a boy and a girl are chosen at random what is the probability that both of them can ride a bicycle
To calculate the probability that both a boy and a girl chosen at random can ride a bicycle, we need to multiply the probabilities of each event happening.
The probability that a boy can ride a bicycle is 70% or 0.7 (given that 70% of boys can ride a bicycle).
The probability that a girl can ride a bicycle is 55% or 0.55 (given that 55% of girls can ride a bicycle).
Multiplying these probabilities together, we get:
0.7 * 0.55 = 0.385
Therefore, the probability that both a boy and a girl chosen at random can ride a bicycle is 0.385 or 38.5%.
To find the probability that both a boy and a girl chosen at random can ride a bicycle, we need to multiply the probabilities of each event happening.
Given information:
- 70% of boys can ride a bicycle, which means the probability of a randomly chosen boy being able to ride a bicycle is 0.7 (or 7/10).
- 55% of girls can ride a bicycle, which means the probability of a randomly chosen girl being able to ride a bicycle is 0.55 (or 11/20).
To find the probability of both events occurring (a boy can ride a bicycle and a girl can ride a bicycle), we multiply the probabilities:
Probability (both can ride) = Probability (boy can ride) * Probability (girl can ride)
= 0.7 * 0.55
= 0.385 (or 38.5%)
Therefore, the probability that both a randomly chosen boy and a randomly chosen 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 need to multiply the probabilities of each event occurring.
Let's start by finding the probability that a randomly chosen boy can ride a bicycle. We are given that 70% of the boys can ride a bicycle, so the probability that a randomly chosen boy can ride a bicycle is 0.70 or 70% (0.70 = 70/100 = 7/10).
Next, let's find the probability that a randomly chosen girl can ride a bicycle. We are given that 55% of the girls can ride a bicycle, so the probability that a randomly chosen girl can ride a bicycle is 0.55 or 55% (0.55 = 55/100 = 11/20).
To find the probability that both a boy and a girl can ride a bicycle, we multiply the two probabilities:
Probability = (Probability of a boy riding a bicycle) × (Probability of a girl riding a bicycle)
= (7/10) × (11/20)
= (7 × 11) / (10 × 20)
= 77/200
Therefore, the probability that both a randomly chosen boy and a randomly chosen girl from the primary school can ride a bicycle is 77/200.