What is the intuition behind this formula?
So, we want the probability of removing 2 blues socks out of 6 and 2 white socks out of 6, while removing 4 socks out of 12.
\(P=\frac{favorable}{total}=\frac{C^2_{6}*C^2_{6}}{C^4_{12}}=\frac{5}{11}\).
Answer: D.
Bunuel
solo1234
A drawer has six loose blue socks and six loose white socks. If four socks are removed from the drawer at random and without replacement. What is the probability that one pair of each color was selected?
A. 2/33
B. 5/66
C. 5/33
D. 5/11
E. 1/2
A. 2/33
B. 5/66
C. 5/33
D. 5/11
E. 1/2
So, we want the probability of removing 2 blues socks out of 6 and 2 white socks out of 6, while removing 4 socks out of 12.
\(P=\frac{favorable}{total}=\frac{C^2_{6}*C^2_{6}}{C^4_{12}}=\frac{5}{11}\).
Answer: D.