You are trying frantically to get dressed, and you need to reach into your sock drawer to get two matching socks in the dark. Your sock drawer contains 20 socks, consisting of 10 matched pairs. All of them are only black or white, and they are loose, disorganized randomly, and not bound together. This means you have 10 black and 10 white socks in your disorganized drawer. This makes 10 total matching pairs of 5 pairs of white and 5 pairs of black. 1. What is the probability of picking a second black sock after first picking a black sock? 2. What is the probability of picking a black sock after first picking a white sock? 3. What is the total probability of picking a white sock and then another white sock (one pair of white socks)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 12CYU
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You are trying frantically to get dressed, and you need to reach into your sock drawer to get two
matching socks in the dark. Your sock drawer contains 20 socks, consisting of 10 matched pairs. All of them are only black or white, and they are loose, disorganized randomly, and not bound together. This means you have 10 black and 10 white socks in your disorganized drawer. This makes 10 total matching pairs of 5 pairs of white and 5 pairs of black.

1. What is the probability of picking a second black sock after first picking a black sock?
2. What is the probability of picking a black sock after first picking a white sock?
3. What is the total probability of picking a white sock and then another white sock (one pair of
white socks)?

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