First slide

Random variable and probability distribution

Question

When a coin is tossed n times and the probability for getting 6 heads is equal to the probability of getting 8 heads, then the value of n is

Easy

A

10
B

12
C

14
D

20

Solution

$P (X = 6) = P (X = 8)$
$\Rightarrow n_{C_{6}} {(\frac{1}{2})}^{n} = n_{C_{8}} {(\frac{1}{2})}^{n}$

$\Rightarrow n_{C_{6}} = n_{C_{8}}$

$∴ n = 14$

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