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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A man has 5 coins:
2 double-headed
1 double-tailed
2 normal
He randomly picks a coin and tosses it.
Probability that the lower face is a head is:
Solution
Double-headed coin (2 coins):lower face = Head always → probability = 1
Double-tailed coin (1 coin):
lower face = Head → probability = 0
Normal coin (2 coins):
lower face = Head → probability = $\tfrac{1}{2}$
Total probability:
$\displaystyle P = \frac{2}{5}(1) + \frac{1}{5}(0) + \frac{2}{5}\left(\frac{1}{2}\right)$
$P = \frac{2}{5} + \frac{1}{5} = \frac{3}{5}$
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