question archive A cookie jar has 3 red marbles and 1 white marble
A cookie jar has 3 red marbles and 1 white marble
Subject:StatisticsPrice:2.87 Bought7
A cookie jar has 3 red marbles and 1 white marble. A shoebox has 1 red marble and 1 white marble. Three marbles are chosen at random without replacement from the cookie jar and placed in the shoebox. Then 2 marbles are chosen at random and without replacement from the shoebox. What is the probability that both marbles chosen from the shoebox are red?
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Answer:
P(all three from jar are red) =(3/4)*(2/3)*(1/2)=1/4
P(2 red and 1 white from jar) =1-1/4=3/4
therefore P( probability that both marbles chosen from the shoebox are red)
=P(all three from jar are red)*P(both red from shoebox all three from jar are red)+P(not all three from jar are red)*P(both red from shoebox| not all three from jar are red)
=(1/4)*(4/5)*(3/4)+(3/4)*(3/5)*(2/4)
=3/8
