sasha has a bag of l red sock, 1 blue sock, 1 white sock, and 1 green sock. she pulls a sock out of the bag without looking, puts it back, and pulls out another sock out of the bag without looking. What is the probability that she will pull out a white sock both times?

i need help with this problem. 😓 i know some of you think it is a peice of cake. 🍰

1/16 i guessed the answer and got it right. YAY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

To find the probability of pulling out a white sock both times, we need to determine the total number of socks in the bag and the number of white socks in the bag.

The total number of socks in the bag is given as follows:
l (red sock) + 1 (blue sock) + 1 (white sock) + 1 (green sock) = 4 socks

Since Sasha puts the sock back after each draw, the total number of socks remains the same for both draws.

Now, let's determine the number of white socks in the bag, which is 1.

Since we know both the total number of socks and the number of white socks, we can calculate the probability.

The probability of selecting a white sock on the first draw is 1 white sock / 4 total socks = 1/4.

Since Sasha puts the sock back, the probability of selecting a white sock on the second draw is also 1 white sock / 4 total socks = 1/4.

To find the probability of both events occurring together (pulling a white sock twice), we multiply the individual probabilities:
(1/4) * (1/4) = 1/16.

Therefore, there is a 1/16 probability that Sasha will pull out a white sock both times.