Two urns contain white & yellow balls. The first urn has 6 white & 9 yellow balls. The second urn has 8 white & 7 yellow balls. If a ball is drawn at random from each urn what is the...

Two urns contain white & yellow balls. The first urn has 6 white & 9 yellow balls. The second urn has 8 white & 7 yellow balls. If a ball is drawn at random from each urn what is the probability both are white?

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tiburtius | High School Teacher | (Level 1) Educator

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Probability of drawing a white ball from an urn is number of white balls in the urn divided by total number of balls in the urn. So probability of drawing a white ball from the first urn is

`P_1=6/(6+9)=6/15=3/5`

Similarly probability of drawing a white ball from the second urn is

`P_2=8/15`

Now since those two drawings are independent the probability that both balls are white is equal to product of `P_1` and `P_2` that is

`P=P_1P_2=3/5cdot8/15=8/25=0.32`

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