Question

A box contains 7 red flowers, 5 white flowers, 4 pink flowers and 8 yellow flowers. Swetha picks a flower at random from the box. What is the probability that Swetha picks a pink or yellow flower?

• A. True
• B. False
• C. $\frac{1}{7}$
• D. $\frac{1}{2}$

Answer 1

The correct option is D

$\frac{1}{2}$

Given,

Number of red flowers = 7

Number of white flowers = 5

Number of pink flowers = 4

Number of yellow flowers = 8

Total number of flowers in the box = 7 + 5 + 4 + 8 = 24

$\Rightarrow$ Total number of possible outcomes = 24

Number of favourable outcomes = Number of pink flowers + Number of yellow flowers

= 4 + 8

= 12

Probability of an event, P(E) = $\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

P(picking a pink or yellow flower) = $\frac{12}{24}=\frac{1}{2}$

Therefore, the probability that Swetha picks a pink or yellow flower is $\frac{1}{2}$.