Randomness, Probability and Simulation

Two tennis players, Joshua and Kito, are going to play a set of 8 games. A player must win at least 6 of the 8 games to win the set. To find the probability of winning the set, Kito wants to simulate the situation using a number cube. If each roll represents a game, which associations on the cube correctly simulate the situation?

• Even numbers on the cube represent Jim, and odd numbers represent Rob.

• Number 1 on the cube represents Jim, and number 3 represents Rob.

• Numbers 1, 3, 4, and 5 represent Jim, and numbers 2 and 6 represent Rob.

• Numbers 2 and 3 represent Jim, and numbers 1, 5, 4, and 6 represent Rob.

A town has 10,000 two-child families. Design a simulation to estimate the percentage of two-child families with two girls. Choose the right simulation tool.

• The simulation tool could be a coin.

• The simulation tool could be a 6 sided dice.

• The simulation tool could be a bag of marbles.

A class quiz has 5 True/False questions. The correct answers are T, T, F, F, and T, in that order. Brandon answered the questions randomly and is now wondering if he will pass the quiz.

He needs to have at least 3 correct answers. Brandon used a calculator to generate random numbers from 1 to 100. He let odd numbers stand for True and even numbers stand for False. He recorded the results in the table. What is the experimental probability that John passed the quiz? Use the chart to answer the question.

• 1/4

• 1/3

• 1/2

• 1

A way to model random events, so that outcomes closely match real-world outcomes is called a(n) ________________.

A class quiz has 5 multiple-choice questions and each question has 4 possible answers (A, B, C, or D). Which spinner would best simulate this scenario?

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The mayor of a Opa-Locka wants to find the probability that families with three children have all girls. Which simulation will best model the situation?

• a spinning wheel with three colors, spun twice

• three coins flipped 10 times

• a numbered cube rolled 3 times

• a random-number generator, generating numbers from 1 to 10, pressed twice

Four friends have birthdays on different days of the week. If a simulator is used to find the days, which number combinationa could represent the different days.

1-Sunday

2- Monday

3- Tuesday

4- Wednesday

5- Thursday

6- Friday

7- Sabbath

• 1, 2, 2, 3

• 3, 4, 5, 7

• 3, 5, 1, 3

• 4, 8, 6, 1

A number cube was rolled 20 times to represent 20 purchases. What is the experimental probability of receiving a 20% coupon? Write the probability as a decimal.

A class quiz has 4 multiple-choice questions and each question has 4 possible answers (A, B, C, or D). The correct answers are B, C, A, and A, in that order, and you must correctly answer at least three questions to pass the quiz.

How many results do you need for each trial?

• 5

• 20

• 4

• 3

A test has 5 multiple-choice questions and each question has 2 possible answers (A or B). Which simulation tool would you use?

• A spinner with 4 parts

• A spinner with 5 parts

• A spinner with 2 parts

• A spinner with 3 parts