Can someone explain this one to me? Why is the probability of B not occuring equal to (0.25)(0.15)(0.42)? I am really struggling with probability so if anyone has a suggested reference other than Schweser, please advise. Thanks. Q. The probability of each of three independent events is shown in the table below. What is the probability of A and C occurring, but not B? Event Probability of Occurrence A 25% B 15% C 42% A) 3.8%. B) 4.2%. C) 10.5%. D) 8.9%. The correct answer was D) 8.9%. Using the multiplication rule: (0.25)(0.42) – (0.25)(0.15)(0.42) = 0.08925 or 8.9%
that’s how i would do it P of A is .25 and P of C is .42, multiply the two, that’s basic joint prob of two independent events. What’s P of B not occuring? 1-.15=.85 so .85*.42*.25=.089 or 8.9%
.25*.15*.42 is probability of B,A and C occurring which is subtracted because you want to find out P of (A,C, and NOT B)
The 2nd explanation makes sense to me. Thank you. I hope I can remember that.