Question

A class consists of 21 boys and 19 girls. A student is selected from the class for social work. Find the probability that a boy is selected

Answer 1

Total outcomes = 21+19 = 40

Probability of boy being selected = 21/40

Answer 2

The probability that a boy is selected = 21/40

Given :

• A class consists of 21 boys and 19 girls.

• A student is selected from the class for social work

To find :

The probability that a boy is selected

Solution :

Step 1 of 3 :

Find total number of possible outcomes

The class consists of 21 boys and 19 girls

Total number of boys and girls

= 21 + 19

= 40

So total number of possible outcomes = 40

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that a boy is selected

The class consists of 21 boys

So total number of possible outcomes for the event A is 21

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{21}{40} }$

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