You randomly select 2 marbles from a mug containing 6 blue marbles, 6 red marbles, and 3 white marbles. How many times greater is the probability of selecting 2 red marbles when you replace the first marble before selecting the second marble than when you do not replace the first marble before selecting the second marble? times greater

Question

Mathematics

Addison Richard

8 December, 00:40

You randomly select 2 marbles from a mug containing 6 blue marbles, 6 red marbles, and 3 white marbles. How many times greater is the probability of selecting 2 red marbles when you replace the first marble before selecting the second marble than when you do not replace the first marble before selecting the second marble? times greater

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Answers (1)

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Tobias Greene · Answer 1

28/25

Step-by-step explanation:

There are a total of 15 marbles, 6 of which are red.

The probability with replacement is:

P = (6/15) (6/15) = 4/25

The probability without replacement is:

P = (6/15) (5/14) = 1/7

The ratio is:

(4/25) / (1/7)

(4/25) * (7/1)

28/25