Suppose your top drawer contains different colored socks: 6 are white, 4 are black, 16 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction.&nbsp;&nbsp;

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Suppose your top drawer contains different colored socks: 6 are white, 4 are black, 16 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction.&amp;nbsp;&amp;nbsp;

Jazz Frenia · Accepted Answer

To calculate the probabilities, let&#039;s consider each case separately:a) Probability of selecting two white socks:There are a total of 6 white socks in the drawer. When you select the first sock, there are 6 white socks out of 38 total socks. After selecting one white sock, there are 5 white socks left out of 37 total socks. Therefore, the probability of selecting two white socks is:638×537=301406≈0.0214b) Probability of selecting one black sock and one pink sock:There are 4 black socks and 16 pink socks in the drawer. The probability of selecting a black sock first is:438×3437=1361406After selecting a black sock, there are 16 pink socks left out of 37 total socks. Therefore, the probability of selecting one black sock and one pink sock is:1361406×1637=217651922≈0.0419c) Probability of selecting two blue socks:There are 12 blue socks in the drawer. When you select the first sock, there are 12 blue socks out of 38 total socks. After selecting one blue sock, there are 11 blue socks left out of 37 total socks. Therefore, the probability of selecting two blue socks is:1238×1137=1321406≈0.0939

Suppose your top drawer contains different colored socks:

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