The Problem:
We have looked at the probability that two non-mutually exclusive events A or B can happen in this learning experience.
We will take it one step further and look at the probability that event A or B or C will happen.
The formula is:
P[A or B or C] = P[A] + P[B] + P[C] − P[A ∩ B] - P[B ∩ C] - P[A ∩ C] + P[A ∩ B ∩ C]
Use the formula to answer the following problem.
The numbers 1 to 40 are all written on slips of paper and placed into a bag. Find the probability to 3 decimal places of drawing a composite number above 20 or multiples of 4 or multiples of 3.
1 mark for substituting correct values on the first line
3 marks for showing work
1 mark for correct final probability
1 answer