Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue?
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The probability of drawing a blue ball from each urn is the probability of drawing a blue ball from the Urn 1 multiplied by the probability of drawing a blue ball from Urn 2.
It is sort of like flipping 2 coins and asking for the chance of getting 2 heads.
The chance of getting a head on Coin 1 is 1/2, and it's the same for Coin 2.
The chance of getting heads on both coins is (1/2) * (1/2) = (1/4)
But in this problem the probability is different for drawing a blue ball because there are different numbers of blue and green balls.