Four candidates A, B, C, D have applied for the assignment to coach a school cricket team. If A is twice as likely to be selected as B, and B and C are given about the same chance of being selected, while C is twice as likely to be selected as D, what are the probability that (i) C will be selected ? (ii) A will not be selected?

Explanation

Given that A is twice as likely to be selected as B. `P(A) = 2P(B)`

B and C are given about the same chance of being selected. `P(B) = P(C)`

C is twice as likely to be selected as` D. P(C) = 2 P(D)`

so,`P(A)=4P(D)`

Now sum of probability is =1

=P(A)+P(B)+P(C)+P(D)=1

=`P(A)+(P(A))/2+(P(A))/2+(P(A))/4=1`

=`[4P(A)+2P(A)+2P(A)+P(A)]/4=1`

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