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Mutually Exclusive Events. Mutually exclusive (disjoint) – events that do not occur at the same time. Ie. You cannot have a slider and a fastball occur at the same time.
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Mutually exclusive (disjoint) – events that do not occur at the same time. Ie. You cannot have a slider and a fastball occur at the same time. Tom has to choose what type of pants he would like to wear. He is most comfortable if he is wearing either kaki or blue jeans. If there are 5 dress pants, 3 blue jeans and 4 kaki pants to choose from, what is the probability that he will receive a pair of pants that he likes?
Since both events can’t happen at the same time, we have to add the probabilities! Addition rule for mutually exclusive events P(A or B) = P(A) + P(B)
Probability of non-mutually exclusive events Ex. A card is randomly selected from a deck of cards. What is the probability that either a spade or a 7 is selected? BUT, we’ve accounted for a spade already so we can’t count the 7 of spades twice! So we need to eliminate 1/52 since we’ve counted this twice. Our final probability is then 16/52 We can correct this by subtract off the common value.
Therefore for events that are non-mutually exclusive Addition rule for non-mutually exclusive P(A or B) = P(A) + P(B) – P(A and B)
