# Ex.15.1 Q19 Probability Solution - NCERT Maths Class 10

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## Question

A child has a die whose six faces show the letters as given below:

 A B C D E A

The die is thrown once. What is the probability of getting

(i) $$\rm A?$$

(ii) $$\rm D?$$

## Text Solution

What is known?

A die has six faces which show the letters as shown in the diagram and it is thrown once.

 A B C D E A

What is unknown?

The probability of getting (i) $$\rm A?$$ (ii) $$\rm D?$$

Steps:

Total number of outcomes = $$6$$

(i) Probability of getting $$\rm A$$

\begin{align}& =\frac{\text{Number of possible outcomes}}{\text{No of favourable outcomes}} \\& =\frac{2}{6} \\\end{align}

(ii) Probability of getting $$\rm D$$

\begin{align}& =\frac{\text{Number of possible outcomes}}{\text{No of favourable outcomes}} \\ & =\frac{1}{6} \\\end{align}

The probability of getting $$\rm A$$ and $$\rm D$$ is \begin{align}\frac{2}{6}\text{ and }\frac{1}{6}\end{align}

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