A fair die is thrown once. The Probability of getting a composite number is

Let P be the event of getting a composite number while throwing a dice.


Total no. of outcomes when n number of die are thrown = 6n


∴ no. of total outcomes = n(S) = 6


Sample Space = {1, 2, 3, 4, 5, 6}


favourable elementary events = getting a composite number


= {4, 6}


∴ no. of favourable elementary events = n(P) = 2


Thus, the probability of getting a composite number = n(P)/n(S)


= 2/6


= 1/3

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