Probability Powerplay
Level 6, 2026-11-05
A group of dogs did a math test and here are their scores out of 5:
dogs

635513
012345
Score

What is the probability of the dogs to score exactly 5?
[2]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
A wheel has 14 sections, each with a different reward.
What is the probability of getting a Hearts?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 30% chance of scoring a 40 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
Roll 114 6-sided dice.
How many times would you expect to get more than 4?
[1]
We asked a group of kids how many Popsicles they eat in a day. Here are the results:
kids

Popsicles04
11
26
32

What is the probability of the kids to eat less than 4 Popsicles in a day?
[2]
A bag has 7 balls with numbers from 1 to 7. You take out 1 ball.
What is the probability of NOT getting the ball with the number 5?
[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:


0.10.150.050.7
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.250.75
purpleblue
Color

How many purple balls were in the bag?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 2 or a 6 and a head?
[1]
Roll 108 6-sided dice.
How many times would you expect to get more than 3?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10, a 40% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
yellowpinkpurple
Color

How many pink balls were in the bag?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
134
143
156
162
173

What fraction of the boys run 100m in exactly 16s?
[2]
A bag has 3 red balls, 6 green balls and 7 blue balls. You take out 1 ball.
What is the probability of getting a green 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:


0.40.150.250.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[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:


0.90.1
12345
Number

What is the probability of rolling 3 or 4?
[1]