Probability and Relative Frequency

Hannah designs and conducts a computer simulation with 20 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of the number of rolls needed in order to roll all of the different numbers on a number cube. According to the results of the simulation, what is the experimental probability that 9 or more rolls are needed to roll all of the different numbers? Express your answer as a percent.

A box contains 4 red pencils, 6 blue pencils, 5 black pencils, and 3 green pencils. The best description of the likelihood of selecting a blue pencil at random from the box is ​​​ (a)   . ​ ​

• unlikely

• impossible

• equally likely

• likely

• certain

Which of the following best describes the likelihood of the spinner landing on a number less than 6?

• impossible

• unlikely

• equally likely

• likely

• certain

During the first several rounds of a golfing league, Anthony made par or better on 32 out of 80 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 160 holes?

• 54 pars or better

• 60 pars or better

• 64 pars or better

• 70 pars or better

Suppose a 4 is rolled on a number cube with sides numbered 1, 2, 3, 4, 5, and 6. Which outcomes(s) make up the complement of this event? Select all that apply.

• rolling a 2

• rolling a 3

• rolling a 4

• rolling a 5

• rolling a 6

Suppose a 4 is rolled on a number cube with sides numbered 1, 2, 3, 4, 5, and 6. The complement of this event would be rolling a 1, 2, 3, 5, or 6. What is the probability of the complement, written as a fraction in simplest form?

If you toss a coin 10 times and get tails each time, which of the following is true?

• The probability of getting a tail on the next toss is greater than the probability of getting a head.

Papa Johns wants to determine how often it delivers to three different areas of Twinsburg. The table shows the areas from a random sample of 80 deliveries. Based on this data, if the driver makes 200 deliveries, how many will be to the southern area of Twinsburg?

• 35

• 55

• 80

• 110

Julie created a weighted number generator that produces the integers 0 to 4. She then runs the generator 500 times. The results are shown in the table. If Julie runs the generator a total off 4,000 times, which is the closest to the expected number of times the integer 1 is produced?

• 385

• 590

• 975

• 1225

For breakfast, the cafeteria offers 3 flavors of PopTarts - Strawberry, Blueberry, and Cherry - but the cafeteria worker picks a random flavor for you. Jayla wants to know the probability of receiving strawberry PopTarts on two consecutive mornings. Which sample space represents this situation?

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