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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 probabilities that C will be selected?

$\begin{array}{1 1}(A)\;\large\frac{3}{7}\\(B)\;\large\frac{2}{9}\\(C)\;\large\frac{1}{9}\\(D)\;\text{None of these}\end{array} $

1 Answer

Step 1:
Let the probability of D selected be $'x'$
$\therefore P(D)=x$
Sum of all probabilities =1
$\therefore 4x+2x+2x+x=1$
Step 2:
C will be selected
$\therefore P$(C selected)=$2x$
$\Rightarrow 2\times \large\frac{1}{9}=\frac{2}{9}$
Hence (B) is the correct answer.
answered Jul 7, 2014 by sreemathi.v

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