Question

In a class of 29 children, 15 like history and 21 like math. They all like at least one of
the two subjects.
What is the probability that a child chosen at random from the class likes math but
not history?

Answer 1

Answer:

14/29

Step-by-step explanation:

Answer 2

The probability that a child chosen at random from the class likes math but not history is 14/29  or 0.4827.

It is given that the in a class of 29 children, 15 likes history and 21 like math.

It is required to find the probability that a child chosen at random from the class likes math but not history if they all like at least one of the two subjects.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

Total students in a class = 29

First we have to find the number of students who likes both subject for this we have draw a Venn diagram shown in the picture.

From the Venn diagram number of students who likes both = 7

And number of students likes only math = 14

Hence, the probability will be:

$p = \frac{14}{29}$   ( because total number of students is 29)

or P = 0.4827 or 48.27%

Thus, the probability that a child chosen at random from the class likes math but not history is 14/29  or 0.4827.

Learn more about the Venn diagram here:

brainly.com/question/1024798