Question

60% of a class are boys. 40% of the boys in the class take Art. 55% of the girls in the classtake Art. Find the probability that a person chosen at random from the class:

b. Is a pupil who takes Art.

Answer 1

To find this probability, we need to consider the proportion of boys and girls in the class who take Art.

Let's assume the class has 100 students for easier calculation.

- 60% of 100 = 60 students are boys
- 40% of the boys (60 boys) take Art: 0.40 * 60 = 24 boys take Art
- 40 students are girls (100 total students - 60 boys)
- 55% of the girls (40 girls) take Art: 0.55 * 40 = 22 girls take Art

Therefore, there are a total of 24 boys + 22 girls = 46 students who take Art out of 100 students in the class.

The probability of choosing a student who takes Art at random from the class is 46/100 = 0.46 or 46%.