Question

Three faces of a die is colored with green, blue and red. The remaining three faces are numbered with $2$, $4$ and $6$. What is the probability of getting either red colour or even number on throwing the die once ?

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $\frac{1}{6}$
• D. $\frac{1}{2}$

Answer 1

The correct option is B $\frac{2}{3}$

Let E be the event 'getting red colour or even number'.
Sample space(S) = {green, blue, red, 2, 4, 6}
Total number of outcomes n(S)= 6
Favourable outcomes for 'getting red colour or even number' (F)= {red, 2, 4, 6}.
Number of favourable outcomes n(F) = 4
$\text{Probability P(E)}$ = $\frac{\text{Number of outcomes favorable to E}}{\text{Number of all possible outcomes of the experiment}}$ = $\frac{4}{6}$ = $\frac{2}{3}$