Joey's sock drawer is unorganized and contains 3 black dress socks, 5 black ankle socks, 7 brown dress socks, and 6 brown ankle socks. What is the probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock?

Respuesta :

Joey has 21 socks all in all. Out of them, there are 10 dress socks and 13 brown socks. There are 7 brown dress socks. The probability,
                P (brown or dress) = P (brown) + P (dress) - P (brown and dress)
Substituting,
               P(brown or dress) = 13/21 + 10/21 - 7/21 = 16/21
Thus, the answer is 16/21. 

The probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock is 1 2/21.

What is the probability?

Probability determines how likely it is that an event would happen. The chances the event would happen lies between 0 and 1.

The probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock  = (number of brown socks / total number of socks) + (number of dress socks / total number of socks)

(13 / 21) + (10 / 21) =  23/21 = 1 2/21

To learn more about probability, please check: https://brainly.com/question/13234031

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