the probability that a child chosen at random from the school arrives by car is 0.74 .
<u>Step-by-step explanation:</u>
Here we have , Some of the children at a school arrive by car.
30% of the children at the school are boys
60% of the boys at the school arrive by car
80% of the girls at the school arrive by car
We need to find what is the probability that a child chosen at random from the school arrives by car .Let's find out:
Probability of child to arrive by car = Probability of a girl to arrive by car + Probability of a boy to arrive by car
⇒ Probability of a boy to arrive by car =
⇒ Probability of a boy to arrive by car =
⇒ Probability of a boy to arrive by car =
Also , Probability of a girl to arrive by car =
⇒ Probability of a girl to arrive by car =
Putting these values we get:
⇒
⇒
Therefore , the probability that a child chosen at random from the school arrives by car is 0.74 .