Complementary Events

What is the probability of drawing a card from a standard deck and not getting a spade?

(Hint: 52 cards in a deck, 13 cards of each suit)

What is the probability of flipping a coin and not landing on tails?

Carmela purchased 10 raffle tickets. If 250 were sold, what is the probability that one of Carmela’s tickets will not be drawn?

What is the probability of spinning a spinner numbered 1 to 6 and not landing on 5?

Raul bought 24 raffle tickets out of 1545 tickets sold. What is the probability that

Raul will not win the grand prize of the raffle?

At Riverview High School, 120 students were asked whether they prefer a lion or a timber wolf as the new school mascot. What is the probability

that a randomly-selected student will have voted for a lion as the new school mascot?

In Evan’s senior class of 240 students, 85% are planning to attend college after graduation. What is the probability that a senior chosen at random is not planning to attend college after graduation?

The Venn diagram shows the cast members who are in Acts I and II of a school play. One of the students will be chosen at random to attend a statewide performing arts conference. Let A be the event that a cast member is in Act I of the play and let B be the event that a cast member is in Act II of the play.

Find A ∩ B

• {Kate, Paige, Brad, Garrett, Amy, Alex, Tyrone, Walter, Fran}

• {Amy, Alex}

• {Kate, Paige, Brad, Garrett, Tyrone, Walter, Fran}

• {Kate, Paige, Brad, Garrett, Amy, Alex}

The Venn diagram shows the cast members who are in Acts I and II of a school play. One of the students will be chosen at random to attend a statewide performing arts conference. Let A be the event that a cast member is in Act I of the play and let B be the event that a cast member is in Act II of the play.

What is the probability that the student who is chosen to attend the conference is a cast member in only one of the two Acts of the play.

LaRae is playing a game that uses a spinner. What is the probability that the spinner will land on a prime number on her next spin?