Question: Draw two balls at random from an urn with 6 red balls and 4 white balls. Suppose that the balls are drawn without replacement. (9)

Draw two balls at random from an urn with 6 red balls and 4 white balls. Suppose that the balls are drawn without replacement.

(9) What is the probability of drawing one red ball and one white ball?

(a) 4/15 (b) 8/15 (c) 6/25 (d) 12/25

(10) What is the probability of drawing at least one red ball?

(a) 12/25 (b) 21/25 (c) 8/15 (d) 13/152

(11) Given that the first ball is red, what is the probability that the second ball is also red?

(a) 5/9 (b) 4/9 (c) 2/3 (d) 3/5

(12) Given that at least one ball is red, what is the probability that both balls are red?

(a) 3/7 (b) 4/7 (c) 5/13 (d) 8/13

Now suppose that the balls are drawn with replacement.

(13) What is the probability of drawing at least one white ball?

(a) 2/3 (b) 2/5 (c) 3/5 (d) 16/25

(14) Given that at least one ball is white, what is the probability that both balls are white?

(a) 1/4 (b) 3/4 (c) 1/5 (d) 4/5

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