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 \(\begin{align}\frac{2}{6}\text{ and }\frac{1}{6}\end{align}\)