Question

In a simultaneous throw of a pair of dice, find the probability of getting 5 as the sum.

Answer 1

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

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

5 as the sum: Favourable outcomes: ({(1, 4), (2, 3), (3, 2), (4, 1)})

Number of favourable outcomes = 4

\[ P(\text{sum is } 5) = \dfrac{4}{36} = \dfrac{1}{9} \]