    Question

# Jason tossed a fair coin $3$ times. What is the probability of getting a head and two tails in any order?

A

$\frac{3}{8}$

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B

$\frac{4}{8}$

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C

$\frac{5}{8}$

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D

$\frac{6}{8}$

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Solution

## 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$=\frac{\text{numberoffavorableoutcomes}}{\text{totalnumberofoutcomes}}$ $=\frac{3}{8}$Therefore the probability of getting a head and two tails are $\frac{3}{8}$.Hence, option $\left(A\right)$ is the correct answer.  Suggest Corrections  0      Similar questions
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