Question

A fair coin is tossed repeatedly until the outcomes of both types have been obtained. The probability that the coin will be tossed exactly 5 times, is equal to:

• A. $\frac{1}{16}$
• B. $\frac{1}{32}$
• C. $\frac{1}{2}$
• D. $\frac{1}{4}$

Answer 1

The correct option is A $\frac{1}{16}$

We have two cases: HHHHT and TTTTH.
Required probability $\frac{1}{2^5}+\frac{1}{2^5}=\frac{1}{16}$