can u help here
My sock drawer contains two red socks, two white socks, and two blue socks. For three days in a row, I pull out two socks out of my sock drawer at random. What is the probability that I get matching socks on all three days?
+394 First calculate all the possible cases which is \(\frac{6!}{2!2!2!}\)= 90
Then calculate all the possible cases which this condition occurs. The first time you pull there is three possible ways to pull a matching pair, 3*1, The second time you pull there is 2 possible ways to get a matching pair, 2*!, after you do this, you have to pull a matching pair. So (3*2)/90 = 1/15
You could also do this with choose, (3/(6 choose 2))*(2/4 choose 2) * (1/2 choose 2) which also gives 1/15
