SOLUTION: Suppose two balls are drawn at random from a bag containing 7 blue and 4 orange balls.
A) if the first ball is replaced before the second ball is drawn wht is the probabily that
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Question 312826: Suppose two balls are drawn at random from a bag containing 7 blue and 4 orange balls.
A) if the first ball is replaced before the second ball is drawn wht is the probabily that both balls drawn are blue?
B)if the first ball is not replaced before the second ball is drawn, what is the probability that both balls are blue?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose two balls are drawn at random from a bag containing 7 blue and 4 orange balls.
A) if the first ball is replaced before the second ball is drawn wht is the probabily that both balls drawn are blue?
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If you replace the 1st ball before drawing the second the draw results
are independent.
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P(2 blue)= P(blue and blue) = P(blue)*P(blue) = (7/11)^2 = 49/121
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B)if the first ball is not replaced before the second ball is drawn, what is the probability that both balls are blue?
P(blue | blue) = (7/11)(6/10) = 7/11 * 3/5 = 21/55
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Cheers,
Stan H.
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