A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?

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mec2652003 mec2652003

07-01-2017
Mathematics

contestada

A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?

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thehuylui thehuylui · Answer 1 · 2017-01-07T21:31:19+01:00

First, find the total amount of socks, these will be your options. There are 10
So, your probability of getting a blue sock the first time is 3/10. Them, you replace it, meaning it is no more an option, this brings the number of options that you have down to 9. to get a red sock, you will have a probability of 4/9. But since the 2 events are independent (they are related), we will need to multiply both their probability.
3/10 x 4/9 = 12/90 = 2/15