SOLUTION: Suppose your top drawer contains different colored socks: 10 are white, 8 are black, 14 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose your top drawer contains different colored socks: 10 are white, 8 are black, 14 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you      Log On


   

Question 1047939: Suppose your top drawer contains different colored socks: 10 are white, 8 are black, 14 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.
(a) What is the probability that you get a blue pair of socks?
(b) What is the probability that you do not get a blue pair of socks?

(c) What is the probability that you get either a white pair or a blue pair of socks?

(d) What is the probability that you get one black sock and one white sock?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


44 Socks: 10 are white, 8 are black, 14 are pink, and 12 are blue

a) P(Bpair) = %2812%2F44%29%2811%2F43%29 = 3/43

b) 1 - P(Bpair) = 1 - 3/43 = 40/43

c) %2810%2F44%29%289%2F43%29 + %2812%2F44%29%2811%2F43%29 = %281%2F%2844%2A43%29%29+%2890+%2B+132%29+=+222%2F%2844%2A43%29 Use Your calculator

d) %288%2F44%29%2810%2F43%29             +            %2810%2F44%29%288%2F43%29

d) Drawing Black before White one   + Drawing white one first and then Black