Find P(B): Solving Probability Formula 1

[e3027]

1. Given P(AnB)=0.6 and P(A|B)=0.10, find P(B)



2. P(A|B)=P(AnB)/P(B)




3. I plugged in the numbers in the formula but keep getting that P(B) is 6... which is wrong since P cannot be greater than 0. Am I doing something wrong?

 

[Mark44]

Instead of plugging in numbers, solve this equation algebraically for P(B):
P(A|B)=P(AnB)/P(B)

When you have P(B) isolated, substitute the values you have for the two other quantities.

 

[e3027]

That's what I did.

P(B)=P(AnB)/P(A|B)=0.6/0.1=6...but this makes no sense to me.

 

[Mark44]

I don't see anything wrong in your work, although obviously a probability can't be larger than 1. Are you sure you have the problem written the same as it was given to you?