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Compound Events 7.3. Card Challenge! # in a standard deck? The 4 suits are? What are the colors of each suit? How many 7’s? What are face cards? How many.

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Presentation on theme: "Compound Events 7.3. Card Challenge! # in a standard deck? The 4 suits are? What are the colors of each suit? How many 7’s? What are face cards? How many."— Presentation transcript:

1 Compound Events 7.3

2 Card Challenge! # in a standard deck? The 4 suits are? What are the colors of each suit? How many 7’s? What are face cards? How many face cards are there? You’re ready!

3

4 A simple event is an event that describes a single outcome. A compound event is an event made up of two or more simple events.

5 Mutually exclusive events are events that cannot both occur in the same trial of an experiment. Rolling a 1 and rolling a 2 on the same roll of a number cube are mutually exclusive events.

6 Recall that the union symbol  means “or.” Remember!

7 A group of students is donating blood during a blood drive. A student has a probability of having type O blood and a probability of having type A blood. A) Why are the events “type O” and “type A” blood are mutually exclusive? P(type O  type A) = P(type O) + P(type A) B) What is the probability that a student has type O or type A blood?

8 Prom! A dress store has 50 prom dresses. 18 are green, 12 are blue, 16 are red, and 4 are black. What is the probability of selecting a green or blue dress?

9 You try! Each student cast one vote for senior class president. Of the students, 25% voted for Anna, 20% for Ansley, and 55% for Ashton. A student from the senior class is selected at random. A) Why are the events “voted for Anna,” “voted for Ansley,” and “voted for Ashton” mutually exclusive? B) What is the probability that a student voted for Ansley or Ashton? P(Ansley  Ashton) = P(Ansley) + P(Ashton) = 20% + 55% = 75%

10 What is the probability of picking a queen or an ace from a deck of cards You try…again! 2/13

11 Inclusive events are events that have one or more outcomes in common. When you roll a number cube, the outcomes “rolling an even number” and “rolling a prime number” are not mutually exclusive. The number 2 is both prime and even, so the events are inclusive.

12 Recall that the intersection symbol  means “and.” Remember!

13 Find the probability on a number cube of rolling a 4 or and even number P(4 or even) = P(4) + P(even) – P(4 and even)

14 You’re Up! P(odd or >2) = P(odd) + P(>2) – P(odd and >2) Find the probability on a number cube of rolling an Odd number or a number greater than 2

15 A card is drawn from a deck of 52. Find the probability of drawing a king or a heart. P(king or heart) = P(king) + P(heart) – P(king and heart)

16 Go for it! drawing a red card or a face card P(red or face) = P(red) + P(face) – P(red and face) A card is drawn from a deck of 52. Find the probability of each.

17 Fun at the ballfields Of the 250 BHS sophomores, 46 play football, 18 play baseball, 6 play both. If selecting one student at random, find the probability that he plays football or baseball

18 Of 1560 students surveyed, 840 were seniors and 630 read a daily paper. The rest of the students were juniors. Only 215 of the paper readers were juniors. What is the probability that a student was a senior or read a daily paper?

19 Step 1 Use a Venn diagram. Label as much information as you know. Being a senior and reading the paper are inclusive events.

20 Step 2 Find the number in the overlapping region. Subtract 215 from 630. This is the number of senior paper readers, 415. Step 3 Find the probability that the students was a Senior or a paper reader. P(senior  reads paper) = P(senior) + P(reads paper) – P(senior  reads paper)

21 Really???? Homework???? Pg. 214 (2-10) Pg. 215 ( 12-18)


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