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Question

A die is thrown, find the probability of getting:
A number greater than $$4$$

Solution
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$${\textbf{Step-1: Find sample space and numbers of event.}}$$
$${\text{Let S be the sample space.}}$$
$${\text{S = {1, 2, 3, 4, 5, 6}}}$$
$$n(S)=6$$
$${\text{Let A be the probability of getting numbers greater than 4.}}$$
$${\text{A = {5, 6}}}$$
$$n(A)=2$$
$${\textbf{Step-2: Find probability of getting numbers greater than 4.}}$$
$${\text{Let P be the probability of getting than 4.}}$$
$$P(A) = \dfrac{n(A)}{n(S)} = \dfrac{2}{6}= \dfrac{1}{3}$$
$${\textbf{Hence, the probability of getting numbers are greater than 4 is}}$$ $$\mathbf{\dfrac{1}{3}.}$$

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