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14 March, 11:38

Peter selects a sock from his drawer. The sock is black. There are 4 white socks, 7 blue socks, and 12 black socks left in the drawer. He selects a second sock from the drawer without looking. Is it likely Peter selects a sock of the same color?

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  1. 14 March, 13:45
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    5/12

    7/12

    125/36 = 3,47%

    50/11 = 4,54%

    Step-by-step explanation:

    Probability a black sock is selected when a person chooses 1 sock = 5/12

    Probability a white or brown sock is selected when a person chooses 1 sock =

    7/12

    Probability a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are replace = (4/12 * 5/12 * 3/12) * 100 = 125/36 = 3,47%

    Pobability a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are NOT replace = (4/12 * 5/11 * 3 / 10) * 100 = 50/11 = 4,54%
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