For question 12 of the specified quiz, I had 2 queries for which I’m approaching the forum. If you refer to the snapshot posted below, you will find that my response to the 1st & 4th option is “A” & “L” respectively. However, according to the solution provided, the correct response should have been “B” & “K” respectively. It should be noted that there is no info provided regarding the “type” of the events P & Q. I’m guessing that this question is meant to test the concepts taught for probabilities of extremities (mutually exclusive & totally dependent). Now my queries are as follows -
The smallest possible probability of P and Q happening would be zero if we consider them to be mutually exclusive events. However, the solution provided says that it should be 0.1. How is this possible?
The largest possible probability of P or Q happening would be obtained when P & Q are mutually exclusive events. Based on the formula p (total) = p (P) + p (Q) - p (P&Q) where “p” denotes the probability, we get a value of p (total) = 0.6 + 0.5 - 0 = 1.1. Now I know that the highest value of probability can only be 1 but if we get 1.1 with the formula, my question is that does it mean that the formula fails for certain conditions?
I wanted some more clarification on this. Are we saying that even though the question doesn’t mention they are mutually exclusive we know they are not because their sum is greater than 1.1 which is more than 1. Does that mean that mutually exclusive events also need to be under 1, I mean their sum needs to be under 1 because they are different events altogether so why are we considering their sum to be equal to one?
@Leaderboard Would be grateful if you could explain this a bit more. Thank you!
