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) = [tex](\frac{6}{16} ) \frac{5}{15} =\frac{30}{240} =\frac{1}{8}[/tex]
The probability of both being grey is
Probability(grey) =[tex](\frac{10}{16} ) \frac{9}{15} =\frac{90}{240} =\frac{3}{8}[/tex]
(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) = [tex]\frac{1}{8}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{4}{8}[/tex] =[tex]\frac{1}{2}[/tex] = 0.500
