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?
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abbieduckie:
the choices are 4/45
8/75
2/15
1/9
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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
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