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Name:

Basic Probability Concepts Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A coin is tossed three times. What is the probability of tossing three heads in succession? a. c. b.

d.

2. A coin is tossed three times. What is the probability of tossing exactly two heads? a. c. b.

d.

3. A coin is tossed three times. What is the probability of tossing at least two heads? a. c. b.

d.

4. A standard die is rolled. What is the probability of rolling a 4? a. c. b.

d.

5. Two standard dice are rolled. What is the probability of rolling a pair (both the same number)? a. c. b.

d.

6. Two standard dice are rolled. What is the probability of rolling a total of 9? a. c. b.

d.

7. Two standard dice are rolled. What is the probability that the total of the two dice is less than 6? a. c. b. f ile: / / / P: / M s. Sediako/ M DM 4U/ basic_pr obabilit y_concept s. ht m

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8. Two identical spinners each have five equal sectors that are numbered 1 to 5. What is the probability of a total of 7 when you spin both these spinners? a. c. b.

d.

Short Answer 9. A standard die is rolled. What is the probability of rolling a prime number?

10. Two standard dice are rolled. What is the probability that the total of the two dice is less than 4?

Problem 11. Use a tree diagram to explain why the probability that a family with four children has either all girls or all boys is , assuming that the probability of having a boy equals the probability of having a girl.

12. A stable has 15 horses available for trail rides. Of these horses, 6 are all brown, 5 are mainly white, and the rest are black. If Jasmine selects one at random, what is the probability that this horse will a) be black? b) not be black? c) be either black or brown?

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13. Tom is practising archery with a target has three concentric zones: a circular bull’s-eye in the centre, an inner ring, and an outer ring. He has an 0.12 probability of hitting the bull’s-eye, an 0.37 probability of hitting the inner ring, and an 0.43 probability of hitting the outer ring. On an given shot, what is the probability that Tom a) misses the target? b) hits the target but does not get a bull’s-eye? c) hits the inner ring or the bull’s-eye?

14. A number is chosen randomly from the first 20 natural numbers (1 to 20). If event A = {a multiple of 5}, what is the value of P(A¢)?

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Name: Answers Score: 0 / 8 points (0%)

[6 open-ended questions not graded]

Basic Probability Concepts Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A coin is tossed three times. What is the probability of tossing three heads in succession? a. c. b. ANSWER: POINTS:

d. C 0/1

FEEDBACK: REF: Knowledge & Understanding 2. A coin is tossed three times. What is the probability of tossing exactly two heads? a. c. b. ANSWER: POINTS:

d. D 0/1

FEEDBACK: REF: Knowledge & Understanding 3. A coin is tossed three times. What is the probability of tossing at least two heads? a. c. b. ANSWER: POINTS:

d. A 0/1

FEEDBACK: REF: Knowledge & Understanding 4. A standard die is rolled. What is the probability of rolling a 4?

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a.

c.

b.

d.

ANSWER: POINTS:

D 0/1

FEEDBACK: REF: Knowledge & Understanding 5. Two standard dice are rolled. What is the probability of rolling a pair (both the same number)? a. c. b. ANSWER: POINTS:

d. A 0/1

FEEDBACK: REF: Knowledge & Understanding 6. Two standard dice are rolled. What is the probability of rolling a total of 9? a. c. b. ANSWER: POINTS:

d. C 0/1

FEEDBACK: REF: Knowledge & Understanding 7. Two standard dice are rolled. What is the probability that the total of the two dice is less than 6? a. c. b. ANSWER: POINTS:

d. D 0/1

FEEDBACK: REF: Knowledge & Understanding 8. Two identical spinners each have five equal sectors that are numbered 1 to 5. What is the probability of a total of 7 when you spin both these spinners? f ile: / / / P: / M s. Sediako/ M DM 4U/ basic_pr obabilit y_concept s. ht m

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a.

c.

b.

d.

ANSWER: POINTS:

A 0/1

FEEDBACK: REF: Knowledge & Understanding Short Answer 9. A standard die is rolled. What is the probability of rolling a prime number? RESPONSE: ANSWER: POINTS: REF:

-- / 1 Applications

10. Two standard dice are rolled. What is the probability that the total of the two dice is less than 4? RESPONSE: ANSWER: POINTS: REF:

-- / 1 Applications

Problem 11. Use a tree diagram to explain why the probability that a family with four children has either all girls or all boys is , assuming that the probability of having a boy equals the probability of having a girl. RESPONSE: ANSWER: Two of the sixteen branches represent outcomes with either four boys or four girls. Each of the sixteen outcomes is equally likely, so the probability of having all girls or all boys is

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.

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POINTS: REF:

-- / 1 Applications | Communication

12. A stable has 15 horses available for trail rides. Of these horses, 6 are all brown, 5 are mainly white, and the rest are black. If Jasmine selects one at random, what is the probability that this horse will a) be black? b) not be black? c) be either black or brown? RESPONSE: ANSWER:

a)

b)

c)

POINTS: REF: f ile: / / / P: / M s. Sediako/ M DM 4U/ basic_pr obabilit y_concept s. ht m

-- / 1 Applications 4/ 5

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13. Tom is practising archery with a target has three concentric zones: a circular bull’s-eye in the centre, an inner ring, and an outer ring. He has an 0.12 probability of hitting the bull’s-eye, an 0.37 probability of hitting the inner ring, and an 0.43 probability of hitting the outer ring. On an given shot, what is the probability that Tom a) misses the target? b) hits the target but does not get a bull’s-eye? c) hits the inner ring or the bull’s-eye? RESPONSE: ANSWER:

a)

b)

c) POINTS: REF:

-- / 1 Applications

14. A number is chosen randomly from the first 20 natural numbers (1 to 20). If event A = {a multiple of 5}, what is the value of P(A¢)? RESPONSE: ANSWER: There are four multiples of 5 among the first 20 natural numbers. Therefore, n(A) = 4 and n(A¢) = 16.

POINTS: REF:

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-- / 1 Applications

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