there are 6 purple socks and 4 orange socks in a drawer. zucky picked one sock without looking and then another without looking or replacing the first. what is the probability that he picked 2 purple socks?

Answer 1

Total number of socks = 6+4 = 10

For the first pull:

There are 6 purple socks out of 10 total socks

6/10

At his second pull, lets assume that he luckily pulled a purple sock out

There are now 9 socks total because he pulled one out, and 5 purple socks left because we assumed he pulled a purple sock out

So the next pull's probability is:

5/9

So the probability that he will pull two purple socks is:

(6/10)*(5/9) = 1/3 or 33.3% if you convert it to a percentage