A bag contains 8 black marbles 9 red marbles and 8 white mar

A bag contains 8 black marbles, 9 red marbles, and 8 white marbles. (round answers to three decimal places)

a) What is the probability that two white marbles are drawn in succession when chosen without replacement?

b) What is the conditional probability that, without replacement, the second marble is red given the first marble was black?

Please make the final answer in bold so I can easily find it

Solution

a)

There are 25 marbles here.

P(white, white) = (8/25)*(7/24) = 0.093333333 [ANSWER]

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b)

If the first was black, then there are 9 red out of 24 remaining balls.

hence,

P(red|first was black) = 9/24 = 0.375 [ANSWER]

A bag contains 8 black marbles, 9 red marbles, and 8 white marbles. (round answers to three decimal places) a) What is the probability that two white marbles ar

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