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Kevin is trying to find a white sock in his drawer. He has 16 white socks, 4 brown socks, and 6 black socks. What is the probability that he pull out either a black or brown sock, puts it back, and then pulls out a white sock?
A) 9/13

B) 20/13

C) 40/169

D) 96/169

Respuesta :

blakemortensen1
C  this is because 
10/26x16/26 = 160/676

Which then simplifies to 40/169

Brainliest would be great, have a great day

there are 26 socks in total (16 + 4 + 6)

so we are asked if if he pulls out a black OR white sock.  the or should signal to you that you add these probabilities 16/26+6/26=22/26

now, it says that he puts it back in (in math terms, he replaces it) and then picks out a brown sock 4/26 now we just multiply those two probabilities together.  the key word you want to look for is AND.  and implies that you multiply the probabilites

22/26∗4/26=22/13∗1/13=22/169

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