Question

HELP ASAP PLEASE

Answer 1

Suppose there is a box labeled A and a box labeled B. In box A, there are 7 white socks and 3 blue socks. In box B, there are 3 white socks and 2 blue socks.
If you know you have a white sock, what is the probability is came from box B?



*Note: write your answer as a completely reduced fraction. For example, 3/5 NOT 6/10.

Answer 2

@ultrilliam @shadow @umm it's finite math btw

Answer 3

I have the answer but let me type out how i got it

Answer 4

The probability of selecting a white sock from box B, P(A|B), is 3/5. The overall probability of drawing a white sock, P(A), is 2/3. Lastly, the probability of selecting box B, P(B), is 1/2.

Using Bayes' theorem, the probability that the white sock came from box B, P(B|A), is 9/20 when written as a fully reduced fraction.