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Michael has a drawer with 8 pairs of black socks and 12 pairs of white socks. Without looking he takes a white pair of socks out of the drawer. What is the probability that the next pair he takes out is black?

A11/19
B11/20
C8/11
D8/19

Verified Answer :

D8/19

Before it was 8/20, but now there are still 8 black pairs, but only 19 pairs in total.

The Probability that the next pair Michael takes out is black = \(\frac{8}{19}\)

What is Probability?

Probability is deals with "occurrence of Random event. The value is expressed from 0 to 1".

According to the question,

Total number of pairs of socks = 8 + 12 =20

Probability of taking pairs of black socks,  P(B)=\(\frac{8}{20}\)

Probability of taking pairs of white socks,  P(W)=\(\frac{12}{20}\)

But after taking Black pair socks the total number socks =19.

Hence, the Probability of taking Black pair socks from drawer is \(\frac{8}{19}\).

To learn more about Probability here

https://brainly.com/question/14378528

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