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
what is the probability that a child chosen at random from the school arrives by car? give your answer as a decimal

the probability that a child chosen at random from the school arrives by car is 0.74 .

Step-by-step explanation:

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 .

0.74

Step-by-step explanation:

30% boys

So 100-30 = 70% girls

(60% × 30%) + (80% × 70%)

0.74

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step-by-step explanation: