Relative FrequencyYou are a games tester. You have been asked to check whether the programmed probabilities in different games actually equate to real outcomes.

Estimate the following based on their probabilities…

1. In Super Mario, the probability of a ‘Bob-omb’ appearing is 0.3. If you played 30 times, how many Bob-ombs would you expect to see?

2. In Minecraft, the probability of a ‘creeper’ appearing is 0.6. If you played 20 times, how many creepers would you expect to see?

3. In Pokemon, the probability of ‘gulpin’ appearing is 0.01. If you played 100 times, how many would you expect to see?

4. In Zelda, the probability of a potion being inside a pot is 0.03. If you smashed 200 pots, estimate how many potions you find.

5. In Plants vs Zombies 2, the probability of an armoured zombie spawning is 0.1. Estimate how many will spawn over 24 games

P(A) #Estimated

occurrencesof A

P(B) #Estimated

occurrencesof B

P(C) #Estimated

occurrencesof C

0.1 10 0.01 100 1/8 1000.2 20 0.23 200 0.97 4500.3 200 0.45 240 32% 320.4 40 0.91 500 1/1

656.25

0.9 50 0.33 900 230 92

HardMediumEasy

Relative Frequency (experiments)Choose your difficulty! Blue is easy, green is medium and red is hard.

1. Roll a dice 30 / 15 / 27 times and store the results in a frequency table. What are the relative frequencies of scoring each number?

2. Using your answers to Q1, estimate the amount of times you would score each number if you rolled the dice 100 / 130 / 79 times.

3. Play rock, paper, scissors with your partner 25 / 35 / 19 times and store the results in a frequency table. What are the relative frequencies of each person winning?

4. Using your answers to Q3, estimate the amount of times each person would win if you played 150 / 125 / 94 times.

5. In a pair, throw 25 / 15 / 17 balls of paper at the bin from at least 10 feet away. Write your results in a frequency table. What are the relative frequencies of scoring / not scoring?

6. Using your results from Q5, estimate the amount of times you would score if you threw 200 / 155 / 118 balls of paper.

7. Spin a pencil on your desk 40 / 22 / 27 times. Record what direction it faces (N, NE, E, SE, S, SW, W, NW) each time in a frequency table.

8. Using your results from Q7, estimate the amount of times you would land in each direction if you spun the pencil 400 / 220 / 253 times.

9. Find the foot sizes of 10 people in your class. Write the answers in a frequency table.

10. Using your results from Q9, estimate how many people would have each foot size if you asked 300 people. Why is your data really inaccurate?