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 Problem: A bag contains 8 red and 5 white balls. 2 balls are drawn at random, what is the probability that both are white? [ Calculator, Method and examples ]Solution:Your problem -> A bag contains 8 red and 5 white balls. 2 balls are drawn at random, what is the probability that both are white?Total number of balls=8+5=13Let S be the sample space. Then, n(S) =  Total number of ways of drawing 2 balls out of 13 :.n(S) = {::}^13C_2=(13 * 12)/(2 * 1)=78Let E= Event of drawing 2 white balls out of 5.n(E) = {::}^5 C_2=(5 * 4)/(2 * 1)=10:.P(E)=(n(E))/(n(S))=10/78=5/39

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