Further Mathematics Paper 2 WASSCE private candidates second series 2019

Question 5

A fair die with faces 1, 2, 3, 4, 5 and 6 is tossed twice. Calculate the probability that the sum of numbers that showed up is:


  1. a multiple of 3.

  2. between 3 and 6.

Observation

The Chief Examiner reported that majority of the candidates attempted this question satisfactorily.


In part (a), they were able to get the table showing the possible outcomes


1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12

P( a multiple of 3) =1236 = 13.
In part (b), they also obtained P(between 3 and 6) = 736.