Question

Jason tossed a fair coin $3$ times.

What is the probability of getting a head and two tails in any order?

• A. $\frac{3}{8}$
• B. $\frac{4}{8}$
• C. $\frac{5}{8}$
• D. $\frac{6}{8}$

Answer 1

The correct option is A

$\frac{3}{8}$

Explanation for the correct option:

Finding the probability of getting a head and two tails :

The outcomes of tossing a coin $3$ times are

$\left\{HHH,TTT,HHT,THH,HTH,TTH,THT,HTT\right\}$

Therefore, the total number of outcomes are $8$.

Now the outcomes in which out of three: one is head and two are tails is:

$\left\{TTH,THT,HTT\right\}$

Therefore the number of favorable outcomes is $3$

We know that,

Probability$=\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}$

$=\frac{3}{8}$

Therefore the probability of getting a head and two tails are $\frac{3}{8}$.

Hence, option $\left(A\right)$ is the correct answer.