I can find probabilities of compound events.. Compound Events  Involves two or more things happening at once.  Uses the words “and” & “or”

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Presentation transcript:

I can find probabilities of compound events.

Compound Events  Involves two or more things happening at once.  Uses the words “and” & “or”

Using the Word “And”  Used to find the probability of two independent events both occurring  P(A and B) = P(A) ∙ P(B)

With Replacement

Without Replacement

Practice

Using the Word “Or”  P(A or B) = P(A) + P(B)  Shows the probability of one event or the other occurring when the events have no outcomes in common. Mutually exclusive  When events are overlapping and have events in common use the following:  P(A or B) = P(A) + P(B) – P(A and B) This prevents us from counting the same probability twice.

Examples  Probability of spinning a 2 or 5  Mutually exclusive or overlapping?  Both cannot occur at the same time  Probability of spinning a multiple of 2 or 5  Mutually exclusive or overlapping?  Some numbers are both multiples of 2 and 5