A fair coin is tossed 6 times. What is the probability of getting a...

A fair coin is tossed 6 times. What is the probability of getting a result in the 6th toss which is different from those obtained in the first five tosses?

Options

A $\frac{7}{16}$
B $\frac{1}{16}$
C $\frac{1}{32}$
D $\frac{1}{64}$

Correct answer

C. $\frac{1}{32}$

Step-by-step solution

Let

\mathrm{E}=\{\mathrm{HHHHHT}, \mathrm{TTTTTH}\}

Now,

P(E)=\frac{2}{2^6}=\frac{2}{64}=\frac{1}{32}

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