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Theoretical Probability Probability & Area Finding Outcomes

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Presentation on theme: "Theoretical Probability Probability & Area Finding Outcomes"— Presentation transcript:

1 Theoretical Probability Probability & Area Finding Outcomes
Making Predictions w/ Samples Probability & Area Finding Outcomes Independent Events 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

2 A number cube is marked with 1, 2, 3, 4, 5, and 6 on its faces
A number cube is marked with 1, 2, 3, 4, 5, and 6 on its faces. You roll the cube one time. Find the probability of the event below. P(3)

3 P(3) =

4 A number cube is marked with 1, 2, 3, 4, 5, and 6 on its faces
A number cube is marked with 1, 2, 3, 4, 5, and 6 on its faces. You roll the cube one time. Find the probability of the event below. P(greater than 2)

5 P(greater than 2) =

6 A set of 30 cards is numbered 1, 2, 3, … , 30
A set of 30 cards is numbered 1, 2, 3, … , 30. Suppose you choose one card without looking. Find the probability of the event below. P(integer)

7 P(integer)=

8 A number cube is marked with 1, 2, 3, 4, 5, and 6 on its faces
A number cube is marked with 1, 2, 3, 4, 5, and 6 on its faces. You roll the cube one time. Find the probability of the event below. P( 5 or 6)

9 P( 5 or 6) =

10 A number cube is marked with 1, 2, 3, 4, 5, and 6 on its faces
A number cube is marked with 1, 2, 3, 4, 5, and 6 on its faces. You roll the cube one time. Find the probability of the event below. P(prime)

11 P(prime) =

12 Tell whether the following is a random sample. Explain your answer.
Survey Survey Location favorite hobby model train store

13 Not Random

14 Tell whether the following is a random sample. Explain your answer.
Survey Survey Location favorite flower grocery store

15 Random

16 In soccer, Karena scored 6 goals in her last 10 attempts.
a.) What is the probability of Karena scoring a goal on the next attempt? b.) Suppose Karena attempts to score 30 goals. How many goals will she make?

17 a.) b.) n = 18

18 At an ice cream shop, the sundae toppings are chocolate, strawberry, marshmallow, and pineapple. Out of 20 people, 9 chose chocolate. If 500 people buy sundaes, how many would you expect to buy chocolate?

19 n = 225

20 Of 40 people surveyed at a bookstore, 6 like biographies, 11 like science fiction, 12 like mysteries, and 11 like general fiction. If the store owner plans to buy 800 books, how many biographies should she order?

21 n = 120 biographies

22 Figure #1 on the board represents a dartboard
Figure #1 on the board represents a dartboard. It is equally likely that the dart will land anywhere on the dartboard. Find the probability of a randomly thrown dart landed in the shaded region.

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24 Figure #1 on the board represents a dartboard
Figure #1 on the board represents a dartboard. It is equally likely that the dart will land anywhere on the dartboard. Find the probability of a randomly thrown dart landed in the unshaded region.

25

26 Suppose you threw a dart 100 times at the dartboard (#1) on the board
Suppose you threw a dart 100 times at the dartboard (#1) on the board. How many times would you expect it to land in the shaded region?

27 x = 50 darts

28 Figure # 2 on the board represents a dartboard
Figure # 2 on the board represents a dartboard. It is equally likely that the dart will land anywhere on the dartboard. Find the probability of a randomly thrown dart landed in the shaded region.

29

30 Suppose you threw a dart 160 times at the dartboard (#2) on the board
Suppose you threw a dart 160 times at the dartboard (#2) on the board. How many times would you expect it to land in the shaded region?

31 x = 112 darts

32 How many outcomes are in the tree diagram below?

33 12 outcomes

34 What is the probability of picking door #1 and curtain b?

35

36 What is the probability of picking door #1?

37

38 The 4 aces are removed from a deck of cards
The 4 aces are removed from a deck of cards.  A coin is tossed and one of the aces is chosen.  What is the probability of getting heads on the coin and the ace of hearts?  HINT: Draw a tree diagram to illustrate the outcomes.

39

40 How many ways can 3 recipes be chosen from 4 different recipes?

41 4 ways

42 In your own words, explain the difference between independent and dependent events.

43 Independent Events- one event doesn’t affect the other(s).
Dependent Events- one event does affect the other(s).

44 A coin is tossed and a number cube rolled. Find the probability below.
P( tails and 3)

45 P( tails and 3) =

46 A coin is tossed and a number cube rolled. Find the probability below.
P( heads and 2 or 4)

47 P( heads and 2 or 4) =

48 A red number cube and a green one are rolled
A red number cube and a green one are rolled. Find the probability of tossing a number greater than 4 on the green cube and a number other than 1 on the red cube.

49

50 P( the first card is green and the second card is navy)
A deck of cards has 2 pink, 2 green, 3 navy, and 3 brown cards. You pick 2 cards from the deck. Cards are returned to the deck after they are picked. P( the first card is green and the second card is navy)

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