Question

In a simultaneous throw of a pair of dice, find the probability of getting even number on each die.

Answer 1

Total Outcomes: When a pair of dice is thrown simultaneously, the sample space consists of: \[ S = {(1,1), (1,2), \dots, (6,6)} \]

\[ n(S) = 6 \times 6 = 36 \]

Even number on each die: Both dice must show ({2, 4, 6}).

Number of favourable outcomes = `(3 \times 3 = 9 )`

\[ P(\text{even on each}) = \dfrac{9}{36} = \dfrac{1}{4} \]