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Katyanochek1 [597]
3 years ago
15

In your top dresser drawer are 6 blue socks and 10 grey socks, unpaired and mixed up. One dark morning you pull two socks from t

he drawer (without replacement, of course!) What is the probability that the two socks match?A. 0.075
B. 0.375
C. 0.450
D. 0.500
Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

D) 0.500

Step-by-step explanation:

Blue Socks = 6

Grey socks = 10

Probabilities to find :

Since there are a total of 16 socks, the probability of both socks being blue is  

Probability(blue) = (\frac{6}{16} ) \frac{5}{15} =\frac{30}{240} =\frac{1}{8}

The probability of both being grey is  

Probability(grey)  =(\frac{10}{16} ) \frac{9}{15} =\frac{90}{240} =\frac{3}{8}

(Note: After 1 sock is picked , next sock drawn would have a different probability as 1 sock is already picked so it would be 1 minus the total socks available of that color)

The probability two socks match:

Probability(blue) + Probability(grey) = \frac{1}{8} + \frac{3}{8}  = \frac{4}{8}  =\frac{1}{2} = 0.500

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