Find P(B). (Give your answer correct to two decimal places.)
A and B are independent events,
P(A) = 0.59 and P(A and B) = 0.25
I worked this one 0.25/0.59 and got the answer of .42372. Could not find the formula to see if this one you added, multiplied, or subtracted the way it was written.
As you know, for independent events,
P(A&B) = P(A)*P(B)
so,
.25 = .59*P(B)
P(B) = .25/.59 = 0.42
So, you are correct. Surely the formulas presented clearly state whether to add, subtract, etc...
I kept trying at first to one that said A or B not and then it would tell me it was wrong, so I thought I was using the wrong ones. Thank you
To find P(B), we can use the formula for the probability of the intersection of two independent events:
P(A and B) = P(A) * P(B)
We are given that P(A and B) = 0.25 and P(A) = 0.59.
Plugging these values into the formula, we can solve for P(B):
0.25 = 0.59 * P(B)
Dividing both sides of the equation by 0.59, we get:
P(B) = 0.25 / 0.59
Calculating this expression, the value of P(B) is approximately 0.42 (rounded to two decimal places).