The performance of candidates in this question was quite good. The probability that Isaka will be alive while Ashatu will die before the next 20 years is given by
1 x {1 – 1 } = 2 = 1
6 { 3 } 18 9
The probability that atleast one of them will be alive in 8 years time
= 1 x 1 + 1 x 2 + 5 x 1 = 4
6 3 6 3 6 3 9
The probability of obtaining a head in a toss of six fair coins is
6C1 (½ )(½)5 = 3
32.
Probability of atleast four heads = Prob. of 4 or 5 or 6 heads
6C4(½)4 (½)2 + 6C5(½)5 (½) + 6C6(½)6 (½)0 = 15 + 6 x 1 = 11
64 64 64 32