Determine the probability , for each of the fonowing,
(a) The sum of 6 appears in a single toss of a pair of fair dice.

contexto.140

3 years ago

Solution:

(a) When a pair of dice is rolled, total number of cases
$\begin{array}{l} S=\{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6) \\ (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) \\ (3,1),(3,2),(3,3),(3,4),(3,5),(3,6) \\ (4,1),(4,2),(4,3),(4,4),(4,5),(4,6) \\ (5,1),(5,2),(5,3),(5,4),(5,5),(5,6) \\ (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\} \end{array}$
Total Sample Space,
Possible outcomes when sum is 6 are and .
Favourable no. of outcomes
It is known that,