Name: ________________________ Class: ___________________ Date: __________ ID: A

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Independent Event Probability Review with some Pythag

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1. Determine the missing side length.

a. 5 cm c. 7 cmb. 6 cm d. 8 cm

____ 2. The square on the hypotenuse of a right triangle has an area of 25 cm2. The square on one leg has an area of 20 cm2. What is the area of the square on the remaining leg?a. 5 cm2 c. 25 cm2

b. 15 cm2 d. 225 cm2

____ 3. Determine the length of the hypotenuse.

a. 21 m c. 35 mb. 28 m d. 49 m

Name: ________________________ ID: A

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____ 4. What is the perimeter of the kite shown below?

a. 52.0 cm c. 33.8 cmb. 95.8 cm d. 139.2 cm

____ 5. A list of all possible outcomes in a probability experiment is calleda. a favourable outcome c. the sample spaceb. an independent event d. a simulation

____ 6. When the result of one event has no effect on the outcome of another event, the event is called a(n)a. favourable outcome c. possible outcomeb. independent event d. sample space

____ 7. When two six-sided dice are tossed, what is the probability of the sum of the two numbers showing being an even number?a. equal to the probability of the sum of the two numbers being oddb. greater than the probability of the sum of the two numbers being oddc. half the probability of the sum of the two numbers being oddd. less than the probability of the sum of the two numbers being odd

____ 8. When rolling a six-sided die and tossing a coin, the number of possible outcomes is

a. 6 b. 8 c. 12 d. 24

____ 9. A coin is tossed three times. What is the probability of tossing three heads in succession?

a.18 b.

14 c.

38 d.

12

____ 10. Two six-sided dice are rolled. What is the probability of rolling the same number on both dice?

a.136 b.

536 c.

16 d.

14

Name: ________________________ ID: A

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____ 11. There are expected to be 120 flights a day in and out of the planned Kelowna airport. If 85% of the flights are expected to be on time, how many flights will likely not arrive on time?a. 18 b. 30 c. 85 d. 102

____ 12. A spinner divided into six equal parts has three green parts, two purple parts, and one white part. What is the probability of spinning green twice in two spins?

a.16

b.14

c.13

d.12

____ 13. Every day, Grant goes to a restaurant for lunch. There are ten different meal choices and two different drink choices. If he orders one meal and one drink, how many different combinations are possible?a. 2 c. 10b. 5 d. 20

____ 14. Two planes are scheduled to arrive at a local airport. There is a 50% probability that plane A will arrive on time. The probability that plane B will arrive on time is 75%. What is the probability that both planes will arrive on time?a. 25% b. 37.5% c. 50.75% d. 75%

CompletionComplete each statement.

Write your answer in the space provided.

15. The formula to determine the probability of a favourable outcome is _________________________.

16. If two six-sided dice are rolled, the probability that the total of the two dice is less than four is _________________________.

Short Answer

Write your answer in the space provided.

17. Use a tree diagram to explain why the probability that a family with four children will have either all girls or

all boys is 18

.

18. Sammy thinks that if she tosses a coin three times, she has a higher probability of tossing two tails and one head than tossing three tails. Is Sammy correct? Explain.

Name: ________________________ ID: A

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19. Draw a table to show all of the possible outcomes when a card is drawn and the die is tossed. What are the chances of randomly rolling a 2 and drawing the 2 of clubs?

20. Jada has a pile of five cards numbered 4, 5, 6, 7, and 8 and a six-sided die. a) Identify all of the possible sums of the two numbers she could get by rolling the die and randomly picking a card.b) What is P(sum of 10)?

Problem

21. Brad has five pairs of pants, four shirts, and two pairs of shoes. Assuming that he always wears one of each, how many different combinations can he wear?

22. The weather forecast indicates that the chance of rain today is 20% in Victoria, 25% in Lethbridge, and 50% in Winnipeg. What is the probability that is will rain in all three cities today?

ID: A

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Independent Event Probability Review with some PythagAnswer Section

MULTIPLE CHOICE

1. ANS: D PTS: 1 DIF: Average OBJ: Section 3.2NAT: M1 TOP: Exploring the Pythagorean Relationship KEY: Pythagorean relationship | Pythagorean triple

2. ANS: A PTS: 1 DIF: Difficult OBJ: Section 3.2NAT: M1 TOP: Exploring the Pythagorean Relationship KEY: Pythagorean relationship | Pythagorean triple

3. ANS: C PTS: 1 DIF: Average OBJ: Section 3.4NAT: M1 TOP: Using the Pythagorean Relationship KEY: Pythagorean relationship | hypotenuse | Pythagorean triple

4. ANS: C PTS: 1 DIF: Difficult OBJ: Section 3.5NAT: M1 TOP: Applying the Pythagorean Relationship KEY: Pythagorean relationship | unknown hypotenuse

5. ANS: C PTS: 1 DIF: Average OBJ: Section 11.1NAT: SP2 TOP: Determining Probabilities Using Tree Diagrams and TablesKEY: probability experiment | sample space

6. ANS: B PTS: 1 DIF: Average OBJ: Section 11.1NAT: SP2 TOP: Determining Probabilities Using Tree Diagrams and TablesKEY: outcome | independent events

7. ANS: A PTS: 1 DIF: Average OBJ: Section 11.2NAT: SP2 TOP: Outcomes of Independent Events KEY: independent events | dice

8. ANS: C PTS: 1 DIF: Easy OBJ: Section 11.2NAT: SP2 TOP: Outcomes of Independent Events KEY: independent events | possible outcomes | dice | coin

9. ANS: A PTS: 1 DIF: Average OBJ: Section 11.2NAT: SP2 TOP: Outcomes of Independent Events KEY: coin | independent events | probability | fraction

10. ANS: C PTS: 1 DIF: Easy OBJ: Section 11.2NAT: SP2 TOP: Outcomes of Independent Events KEY: dice | independent events | probability | fraction

11. ANS: A PTS: 1 DIF: Average OBJ: Section 11.3NAT: SP2 TOP: Determining Probabilities Using Fractions KEY: probability | percent

12. ANS: B PTS: 1 DIF: Average OBJ: Section 11.1NAT: SP2 TOP: Determining Probabilities Using Tree Diagrams and TablesKEY: independent events | spinner | probability | fraction

13. ANS: D PTS: 1 DIF: Average OBJ: Section 11.2NAT: SP2 TOP: Outcomes of Independent Events KEY: independent events | problem | combinations

ID: A

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14. ANS: B PTS: 1 DIF: Difficult OBJ: Section 11.3NAT: SP2 TOP: Determining Probabilities Using Fractions KEY: probability | percent | decimal

COMPLETION

15. ANS: Probability = number of favourable outcomes

totalnumber of possible outcomes

PTS: 1 DIF: Easy OBJ: Section 11.1 NAT: SP2TOP: Determining Probabilities Using Tree Diagrams and Tables KEY: favourable outcomes | possible outcomes | formula

16. ANS: 336

112

0.83

83. 3%

PTS: 1 DIF: Average OBJ: Section 11.2 NAT: SP2TOP: Outcomes of Independent Events KEY: independent events | dice

ID: A

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SHORT ANSWER

17. ANS: Answers may vary. Example: Two of the 16 branches represent outcomes with either four boys or four girls.

There are 16 possible outcomes, so the probability of having all girls or all boys is 216

18

.

PTS: 1 DIF: Average OBJ: Section 11.1 NAT: SP2TOP: Determining Probabilities Using Tree Diagrams and Tables KEY: tree diagram | probability

18. ANS: Possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Probability (3 tails) = favourable outcomespossible outcomes

= 18

Probability (2 tails and 1 head) = favourable outcomespossible outcomes

= 38

Sammy is correct.

PTS: 1 DIF: Difficult OBJ: Section 11.2 NAT: SP2TOP: Outcomes of Independent Events KEY: problem | coin

ID: A

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19. ANS: Six-Sided Die

1 2 3 4 5 6

Number Cards

Ace A, 1 A, 2 A, 3 A, 4 A, 5 A, 62 2, 1 2, 2 2, 3 2, 4 2, 5 2, 63 3, 1 3, 2 3, 3 3, 4 3, 5 3, 64 4, 1 4, 2 4, 3 4, 4 4, 5 4, 65 5, 1 5, 2 5, 3 5, 4 5, 5 5, 6

There are 30 possible outcomes with only one being a favourable outcome. Therefore, the chance of rolling a

2 and drawing the 2 of clubs is 130

.

PTS: 1 DIF: Easy OBJ: Section 11.2 NAT: SP2TOP: Outcomes of Independent Events KEY: favourable outcome | dice | card | table | sample space

20. ANS: a) Methods may vary. Example:

b) P(sum of 10) 530

16

The probability of getting a sum of 10 is 16

, 0.16, or 16.6%.

PTS: 1 DIF: Average OBJ: Section 11.1 NAT: SP2TOP: Determining Probabilities Using Tree Diagrams and Tables KEY: sample space | dice | cards

ID: A

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PROBLEM

21. ANS: 5 4 2 40 There are 40 different combinations he can wear.

PTS: 1 DIF: Easy OBJ: Section 11.2 NAT: SP2TOP: Outcomes of Independent Events KEY: independent events | problem | combinations

22. ANS: 0.2 0.25 0.5 0.025

2.5%There is a 2.5% chance that it will rain in all three cities today.

PTS: 1 DIF: Difficult OBJ: Section 11.3 NAT: SP2TOP: Determining Probabilities Using Fractions KEY: problem | independent events | percent

ID: A Independent Event Probability Review with some Pythag [Answer Strip]

_____ 1.D

_____ 2.A

_____ 3.C

_____ 4.C

_____ 5.C

_____ 6.B

_____ 7.A

_____ 8.C

_____ 9.A

_____ 10.C

_____ 11.A

_____ 12.B

_____ 13.D

_____ 14.B