Relative Frequency and Probability Problems

The video tutorial covers the concept of expectation in probability, explaining how to calculate expected outcomes using a formula. It includes practical examples with spinners, tables, and coin flips to demonstrate probability calculations. The tutorial also discusses relative frequencies in different scenarios, such as a softball play area and an experiment, and concludes with solving probability questions involving dice.

If a spinner is spun 400 times and has 5 equal sections, how many times would you expect it to land on green?

• 60

• 80

• 100

• 120

What is the probability of landing on purple if it landed on purple 72 times out of 300 spins?

• 0.24

• 0.2

• 0.18

• 0.22

If a spinner is spun 1000 times, and the probability of landing on blue is based on 45 out of 300 trials, how many times would it land on blue?

• 150

• 200

• 250

• 300

What is the relative frequency of blue if there are 100 balls and 32 are blue?

• 0.28

• 0.36

• 0.32

• 0.30

If there are 250 balls and the probability of getting a red ball is 0.2, how many red balls would you expect?

• 40

• 50

• 60

• 70

What is the missing probability if the sum of other probabilities is 0.88?

• 0.12

• 0.16

• 0.14

• 0.10

If the probability of landing on a number 3 or 4 is 0.33, how many times would it land on these numbers in 300 trials?

• 90

• 110

• 99

• 105

If a coin lands on heads 200 times with a relative frequency of 0.4, how many times was the coin flipped in total?

• 550

• 500

• 450

• 400

What is the relative frequency of a void outcome if it occurs 60 times out of 400 trials?

• 0.20

• 0.30

• 0.15

• 0.25

If an experiment is carried out 1000 times and the probability of a void outcome is 0.24, how many void outcomes would you expect?

• 260

• 220

• 240

• 200