Respuesta :
Answer: B. 11/13
Step-by-step explanation:
So he starts out with 16, and picks out 3 of those 13. This means that he now has 13 socks in total in the drawer, so therefore, the answer could only be A or B. However, what makes it B, is that if he doesn't put them back, the only way he wouldn't get a full pair is with the green pair. That is where the 11/13 comes in, as two of the socks are green, making it not a full pair. But since he has 3 more black socks, 5 more white socks, and 3 more grey socks, when you add those together you get 11
5+3+3=11
Hope I helped!
Probability that he will have a complete pair is [tex]\frac{11}{13}[/tex].
What is probability?
"Probability is a branch of mathematics that deals with the occurrence of a random event. For example, when a coin is tossed in the air, the possible outcomes are Head and Tail."
Jim's sock drawer has
Two pairs of black socks, three pairs of white, one pair of green, and two pairs of gray.
2 × 2 + 3 × 2 + 1 × 2 + 2 × 2 = 16
So there were 16 socks
One evening he randomly picks three socks assuming that he will get a matched pair, but instead turns up with 1 black, 1 white, and 1 gray sock.
= 16 - 1 - 1 - 1
= 13
After he picked, there were 3 black, 5 white, 2 green and 3 gray socks.
So probability that he will have a complete pair
= [tex]\frac{3+5+3}{13}[/tex]
= [tex]\frac{11}{13}[/tex]
Hence, probability that he will have a complete pair is [tex]\frac{11}{13}[/tex].
Learn more about probability here
https://brainly.com/question/11234923
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