Alice has a basket containing 6 red socks, 4 blue socks, and 12 white socks. Find the theoretical probability that Alice will randomly select a red sock from the basket.
I think I have to add the number of socks to know the total and then divide 6/22. Please is this right.
Right.
6/22 = 3/11
Thank you.
You're welcome.
Yes, you are on the right track! To find the theoretical probability, you need to divide the number of favorable outcomes (in this case, the number of red socks) by the total number of possible outcomes (the total number of socks in the basket).
To calculate the total number of socks, you simply add up the number of red socks, blue socks, and white socks:
Total number of socks = 6 red socks + 4 blue socks + 12 white socks
Total number of socks = 22 socks
Now, you can calculate the theoretical probability of selecting a red sock by dividing the number of red socks by the total number of socks:
P(red sock) = Number of red socks / Total number of socks
P(red sock) = 6 red socks / 22 socks
P(red sock) ≈ 0.273
Therefore, the theoretical probability that Alice will randomly select a red sock from the basket is approximately 0.273, or 27.3%.