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14.Probability
easy
A coin is tossed until a head appears or until the coin has been tossed five times. If a head does not occur on the first two tosses, then the probability that the coin will be tossed $5$ times is
A
$\frac{1}{2}$
B
$\frac{3}{5}$
C
$\frac{1}{4}$
D
$\frac{1}{3}$
Solution
(c) $P$ (tail in $3^{rd}$) $ \cdot P$(tail in $4^{th}$) $ = \frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}$.
Standard 11
Mathematics