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 $\frac{7}{9}$

Favorable outcomes for orange marbles = 2
Total no. of outcomes = 9
$\text{Probability,P(E)}$ = $\frac{\text{Number of outcomes favorable to E}}{\text{Number of all possible outcomes of the experiment}}$
P (Picking an orange marble) $=\frac{2}{9}$
$\therefore$ P (not picking an orange marble) $=1-\frac{2}{9}=\frac{7}{9}$