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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
In a game, a child will win Rs $5$ if he gets all heads or all tails when three coins are tossed simultaneously and he will lose Rs $3$ for all other cases.
The expected amount to lose in the game is:
Solution
Total outcomes when 3 coins tossed:
$2^3=8$
Favourable (all heads or all tails):
HHH, TTT → 2 outcomes
So,
$P(\text{win})=\frac{2}{8}=\frac{1}{4}$
$P(\text{lose})=\frac{6}{8}=\frac{3}{4}$
Expected value:
$E=5\left(\frac{1}{4}\right)+(-3)\left(\frac{3}{4}\right)$
$=\frac{5}{4}-\frac{9}{4}$
$=-\frac{4}{4}$
$=-1$
So expected loss = Rs. 1
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