Question

Find the probability of getting an even number on the die and tail on the coin, if a die and a coin both are tossed simultaneously.

• A.
  $\frac{1}{12}$
• B.
  $\frac{1}{6}$
• C.
  $\frac{1}{3}$
• D.
  $\frac{1}{4}$

Answer 1

The correct option is D

$\frac{1}{4}$

Total number of outcomes = 12 {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T)}.

Let $E$ be the event 'the die shows an even number and the coin shows a tail'.

Favorable outcomes = {(2,T),(4,T),(6,T)}
Total no. of favorable outcomes = 3

$\text{Probability P(E)}$ = $\frac{\text{Number of outcomes favourable to E}}{\text{Number of all possible outcomes of the experiment}}$

$P\left(E\right)=\frac{3}{12}=\frac{1}{4}$