Answer :

**Given,** There are total of 4 balls in a bag.

**To Find:** What is the probability that all the balls are white

**Explanation:** We have a total 4 balls in a bag.

And, Two Balls are drawn at random and are found to be white

Let us Consider the events,

E_{1} = The bag contains two white and two other balls

E_{2} = The bag contains three white and one other ball

E_{3} = The bag contains all four white balls

And,

A = Two balls drawn are white.

So,

P(E_{1}) = P(E_{2}) = P(E_{3}) = 1/3

^{2}C_{2}/^{4}C_{2}

^{2}C_{2}/^{4}C_{2}

^{2}C_{2}/^{4}C_{2}

According to Bayes Theorem ,

**Hence, This is the required probability.**

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