Question

A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of picking a red marble, replacing it, and then picking a blue marble?

Answer 1

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Answer 2

Total number of red marbles = 5 (Given)

Total number of blue marbles = 6 (Given)

Total number of black marbles = 4 (Given)

Total number of marbles = 5 + 6 + 4 = 15

Find the probability of picking a red marble:

P(red marble) = 5/15 = 1/3

Find the probability of picking a blue marble:

P(Blue marble) = 6/15 = 2/5

Find the probability of picking a red and then a blue (with replacement):

P(red, then blue) = (1/3) (2/5) = 2/15

Answer: 2/15