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Mutually Exclusive Events Notes Sheet Vocabulary

Mutually Exclusive – If two events CANNOT happen at the same time

Guided Practice Determine whether the events are mutually exclusive or not mutually exclusive. Explain your reasoning.

1. a junior winning the election or a senior winning the election

2. a sophomore sinning the election or a female winning the election

3. drawing an ace or a club from a standard deck of cards

Your Turn 4. drawing a card from a standard deck of cards and getting a 5 or a heart

5. getting a sum of 6 or 8 when two dice are rolled

Probability of Mutually Exclusive Events

Define If two events are mutually exclusive, then the

probability that A or B occur is the sum of the

probabilities of each event. Symbols If events A and B are mutually exclusive, then

Guided Practice 6. Molly makes a playlist that consists of songs from three different albums by her favorite artist. If he lets

his MP3 player select the songs from this list at random, what is the probability that the first song is from Album 1 or Album 2?

Your Turn 7. Leo reaches into a can that contains 30 quarters, 25 dimes, 40 nickels and 15 pennies. What is the

probability that the first coin he picks is a quarter or a penny?

Molly’s Playlist

Album Number of Songs

1 10

2 12

3 13

If two events CANNOT happen at the same time

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Probability of Events That Are Not Mutually Exclusive Events

Define If A and B are not mutually exclusive, then the

probability that A or B occur is the sum of their

individual probabilities minus the probability that

both occur.

Symbols If A and B are not mutually exclusive, then

Guided Practice 8. The table shows the number and type of

paintings that Timothy has created. If he randomly selects a painting to submit to an art contest, what is the probability that he selects a portrait or an oil painting?

Your Turn

9. What is the probability that Timothy selects a watercolor or a landscape?

Complement – all outcomes not included in an event

Probability of the Complement of an Event

Define The probability that an event won’t occur is equal to

1 minus the probability that the event will occur

Symbols For an event A, then

Guided Practice 10. Brittany bought 20 raffle tickets, hoping to win the $1,000 gift card to her favorite clothing store. If a

total of 300 raffle tickets were sold, what is the probability that Brittany will not win the gift card? Your Turn

11. Miguel bought 15 chances to pick the one red marble from a container to win a gift certificate to the bookstore. If there is a total of 200 marbles in the container, what is the probability that Miguel will not win the gift certificate?

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Timothy’s Paintings

Media Still Life Portrait Landscape

watercolor 4 5 3

oil 1 3 2

acrylic 3 2 1

pastel 1 0 5