Question

A bag contains three green marbles, four blue marbles, and two orange marbles. If a marble is picked at random, then the probability that it is not an orange marble is

• A. $\frac{1}{4}$
• B. $\frac{1}{3}$
• C. $\frac{4}{9}$
• D. $\frac{7}{9}$

Answer 1

The correct option is D

$\frac{7}{9}$

P (Picking an orange marble) = $\frac{2}{9}$

Probability of picking a green marble = $\frac{3}{9}$

Probabilty of picking a blue marble = $\frac{4}{9}$

Hence the probability of picking a green marble + Probability of picking a blue marble = Probability of not picking an orange marble

$\frac{3}{9}$ + $\frac{4}{9}$

= $\frac{7}{9}$