Probability Powerplay
Level 6, 2026-02-09
A group of dogs did a math test and here are their scores out of 5:
dogs

344162
012345
Score

What is the probability of the dogs to score more than 4?
[2]
Flip a coin 8 times.
Each time a Head comes up you win $4. How much money would you expect to make altogether?
[1]
Roll 144 6-sided dice.
How many times would you expect to get an even number?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score02
13
24
32
45
55

What is the probability of the girls to score exactly 3?
[2]
A bag has 7 balls with numbers from 3 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
Roll 108 6-sided dice.
How many times would you expect to get less than 4?
[1]
A bag has 3 balls with numbers from 4 to 6. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 4?
[1]
A bag has 8 balls with number 4 and 6 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
Roll 72 6-sided dice.
How many times would you expect to get more than or equal to 6?
[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:


0.90.050.05
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 4?
[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:


0.050.250.10.6
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 2?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 10 and a 50% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A wheel has 3 pink sections and 3 yellow sections.
What is the probability of getting yellow?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.90.1
redorange
Color

How many red balls were in the bag?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 10% chance of scoring a 50, or you might miss completely and score 0. 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 or equal to 3?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.40.6
redpinkblue
Color

How many red balls were in the bag?
[1]