Answer:
The probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.
Step-by-step explanation:
Since a drawer contains only blue, black, and white socks, and there are 8 blue socks, 5 black socks, and 3 white socks, to determine the probability of selecting, without looking, a blue sock and then a blue, black or white sock the following calculations must be performed:
Blue = 8/16 x 7/15 = 0.5 x 0.46 = 0.2333
Black = 8/16 x 5/15 = 0.5 x 0.333 = 0.1666
White = 8/16 x 3/15 = 0.5 x 0.2 = 0.10
Therefore, the probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.
