Mutually Exclusive and Inclusive Events

Front

What are mutually exclusive events?

Back

Events that cannot occur at the same time. If one event occurs, the other cannot.

Front

What are inclusive events?

Back

Events that can occur at the same time. The occurrence of one event does not prevent the occurrence of the other.

Front

What is the probability formula for mutually exclusive events?

Back

P(A or B) = P(A) + P(B) where A and B are mutually exclusive events.

Front

What is the probability formula for inclusive events?

Back

P(A or B) = P(A) + P(B) - P(A∩B) where A and B can occur together.

Front

If you draw a card from a standard deck, what is the probability of drawing a diamond or a face card?

Back

False; they are not mutually exclusive since face cards can also be diamonds.

Front

If Sarah has 15 red chips and 13 white chips, what is the probability of selecting a red or white chip?

Back

Exclusive; the events do not overlap.

Front

What is the probability of drawing a vowel or one of the first five letters from a bag of 26 balls?

Back

4/13; there are 4 vowels (A, E, I, O, U) and 5 letters (A, B, C, D, E).

Front

What is the probability of rolling a 5 or a number greater than 3 on a die?

Back

Non-Exclusive (Inclusive); rolling a 5 satisfies both conditions.

Front

What is an example of mutually exclusive events in a card game?

Back

Drawing a heart or a spade; you cannot draw a card that is both.

Front

What is an example of inclusive events in a dice game?

Back

Rolling an even number or rolling a number greater than 3; both can occur.