Probability Powerplay
Level 6, 2025-12-06
A group of humans did a math test and here are their scores out of 5:
Scorehumans
06
13
22
36
40
51

What is the probability of the humans to score less than 2?
[2]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.40.150.20.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
We asked a group of dogs how many Pizzas they eat in a week. Here are the results:
dogs

5662
0123
Pizzas

What fraction of the dogs eat exactly 2 Pizzas in a week?
[2]
A group of boys were timed running 100m. Here are the results:
boys

2335
1314151617
Time

What fraction of the boys run 100m in exactly 14s?
[2]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.20.150.250.4
12345
Number

What is the probability of rolling a number from 3 to 4?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
136
146
152
164
176

What fraction of the humans run 100m in exactly 14s?
[2]
Flip a coin 2 times.
Each time a head comes up you win $4 and with each tail you lose $2. It costs $2 to play (paid once). How much money would you expect to make altogether?
[1]
You flip a coin and roll a 7 sided die.
What is the probability of getting a 5 and a head?
[1]
A bag has 8 balls with numbers from 2 to 9. You take out 1 ball.
What is the probability of getting a ball with a number more than 6?
[1]
A bag has 6 red balls and 9 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


1
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 4?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

252361
012345
Score

What is the probability of the dogs to score exactly 4?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 4?
[1]
A bag has 9 balls with number 1 and 7 balls with a number 9. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
Roll 12 6-sided dice.
How many times would you expect to get more than or equal to 5?
[1]