(a) Two fair die are thrown once. Find the probabitlity of getting : (i) the same digit ; (ii) a total score greater than 5. (b) Given that and , evaluate without using a mathematical table or calculator : .
Explanation
(a) Sample - space
1
2
3
4
5
6
1
1, 1
1, 2
1, 3
1, 4
1, 5
1, 6
2
2, 1
2, 2
2, 3
2, 4
2, 5
2, 6
3
3, 1
3, 2
3, 3
3, 4
3, 5
3, 6
4
4, 1
4, 2
4, 3
4, 4
4, 5
4, 6
5
5, 1
5, 2
5, 3
5, 4
5, 5
5, 6
6
6, 1
6, 2
6, 3
6, 4
6, 5
6, 6
(i) Same digit = {(1,1), (2,2),(3,3), (4,4),(5,5), (6,6)} P(same digit) = (ii) P(total score greater than 5) = = (b) = = = = .
