Question

Question 1

Answer 1

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%.