You have a bag with 4 pairs of socks. there are 2 red pairs and 2 black pairs. you pull a sock from the bag and put it back 3 times. what is the probability that you pull out a red sock each time?

Total Number of socks = 4 pairs= 8 socks
Number of red socks = 4
Number of black socks = 4

Probability of pulling a red sock from the bag the first time =  

Since the sock is placed back in the bag before pulling a sock again, the number of socks remains the same.

So,

Probability of pulling a red sock from the bag the second time =  

And

Probability of pulling a red sock from the bag the third time =  

Therefore, the probability of pulling a red sock 3 times from the bag =