Andrea has 8 blue socks and 4 red socks. She chooses one sock at random and puts it on. She then chooses another sock without looking. If the first sock is red, find the probability that the second sock will also be red.

1)3/11
2)1/6
3)2/11
4)1/12

3/11

Hint:

How many red socks are left after she removes one?

How many socks are there in total?

remember, one is removed from the original total.

Well, Andrea certainly has a colorful sock collection! Let's see how we can calculate the probability that the second sock will also be red.

If Andrea chooses a red sock first, there are now 3 red socks left out of a total of 11 socks remaining (4 red + 8 blue). Hence, the probability of choosing a red sock second is 3/11.

So, the correct answer is 1) 3/11. But hey, maybe Andrea's red sock is feeling lonely and wants a blue friend instead!

To find the probability that the second sock will also be red given that the first sock is red, we need to calculate the favorable outcome (selecting a red sock) divided by the total number of possible outcomes.

Let's first determine the total number of possible outcomes. Andrea has a total of 12 socks (8 blue + 4 red), so she can choose any of the 12 socks as her first choice.

If the first sock is red, then there are 3 red socks remaining from the 11 socks left (since one red sock has already been chosen). Therefore, there are 3 favorable outcomes (selecting a red sock) out of a total of 11 possible outcomes.

So, the probability that the second sock will be red given that the first sock is red is 3/11.

Therefore, the correct answer is option 1) 3/11.