A fair coin is tossed 99 times. If X is the number of times head appears, then P(X = r) is maximum when r is:
A
49, 50
B
50, 51
C
51,,52
D
None of these
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A
49, 50
When a coin is tossed $\text{p = q}=\frac{1}{2}$
$\Rightarrow\text{P(X = r})^{\text{ }^{\text{n}}}\text{C}_{\text{r}}\times0.5^{\text{n}}$
Coin is tossed 99 times.
For odd number of n maximum terms at
$\text{r}=\frac{\text{n}-1}{2}$ and $\text{r}=\frac{\text{n}+1}{2}$
$\text{n}=99\Rightarrow\text{r}=49 \text{ or }50$
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