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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=13`

Let `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)=78`

Let `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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