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Question

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

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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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