What is probability that you pick 3 white balls if you have 3 white balls 1 red ball and 2 green balls?

Answer 1

The probability that you pick 3 white balls is 0.05 or 5%.

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EXPLANATION
The probability of first drawing a white ball is: P(W1) =

3/6.

The probability of drawing a white ball given the event that you already draw a

white ball in the first draw and not replacing it back is: P(W2│W1) =

2/5.

The probability of drawing a white ball on the third draw given the event that a

white ball was drawn in the first and in the second draw is: P(W3│(W

1UW2)) =

1/4

Now, the probability of drawing 3 white balls one by one with out replacement

(taking all 3 balls at a time gets the same analysis and result) is:

P(W1UW2UW3) =

P(W1)∙P(W

2│W1)∙P(W

3│(W

1UW2)) =

(3/6)∙(2/5)∙(1/4) =

1/20

=

0.05 =

5%.