Question

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

Answer 1

$${\textbf{Step-1: Find sample space and numbers of event.}}$$

$${\text{Let S be the sample space.}}$$

$${\text{S = {1, 2, 3, 4, 5, 6}}}$$

$$n(S)=6$$

$${\text{Let A be the probability of getting numbers greater than 4.}}$$

$${\text{A = {5, 6}}}$$

$$n(A)=2$$

$${\textbf{Step-2: Find probability of getting numbers greater than 4.}}$$

$${\text{Let P be the probability of getting than 4.}}$$

$$P(A) = \dfrac{n(A)}{n(S)} = \dfrac{2}{6}= \dfrac{1}{3}$$

$${\textbf{Hence, the probability of getting numbers are greater than 4 is}}$$ $$\mathbf{\dfrac{1}{3}.}$$