Probability and Relative Frequency

A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If a marble is picked at random 50 times and the relative frequency of picking a red marble is found to be 0.6, how many times was a red marble picked?

• 25

• 30

• 20

• 35

In a survey, 200 people were asked if they liked chocolate ice cream. If the relative frequency of 'yes' responses was 0.75, how many people said they liked chocolate ice cream?

• 150

• 140

• 160

• 175

During a month, a commuter notes that they were late to work 6 times out of 20 working days. What is the relative frequency of being late?

• 0.3

• 0.25

• 0.4

• 0.6

If the relative frequency of drawing a queen from a standard deck of cards is found to be 0.05 after many trials, how many times was a queen drawn out of 1000 trials?

• 50

• 40

• 60

• 55

A dice is rolled 60 times and the number 4 comes up 15 times. What is the relative frequency of rolling a 4?

• 0.25

• 0.2

• 0.15

• 0.3

A weather station records rainfall on 90 out of 365 days in a year. What is the relative frequency of a day having rainfall?

• 0.2466

• 0.1644

• 0.2055

• 0.1233

If the relative frequency of an event occurring is 0.2, what is the probability of the event not occurring?

• 0.2

• 0.8

• 0.5

• 0.7

Out of 250 days, a factory machine malfunctioned on 40 days. Using relative frequency, estimate the probability that the machine will malfunction on a randomly chosen day.

• 0.16

• 0.2

• 0.1

• 0.06

A basketball player has a relative frequency of making a free throw of 0.75. If they attempt 12 free throws in a game, how many free throws would you expect them to make?

• 8

• 9

• 10

• 6

A school's data shows that the relative frequency of students arriving late is 0.1. If there are 800 students in the school, how many students would you expect to arrive late?

• 80

• 100

• 120

• 60