Question

A fair coin is flipped once. The probability of getting both, a head and a tail is

• A. $P\left(HandT\right)=0$
• B. $P\left(HandT\right)=0.25$
• C. $P\left(HandT\right)=0.5$
• D. $P\left(HandT\right)=0.75$
• E. $P\left(HandT\right)=1$

Answer 1

The correct option is A $P\left(HandT\right)=0$

In a fair coin, $P\left(H\right)=P\left(T\right)=\frac{1}{2}$
Clearly, a head and a tail cannot be an outcome as the coin is only flipped once.
Hence this event is impossible and $P\left(HandT\right)=0$