Probability Powerplay
Level 6, 2026-07-09
A group of kids did a math test and here are their scores out of 5:
Scorekids
02
14
23
32
43
53

What is the probability of the kids to score more than 2?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
yellowpinkred
Color

How many pink balls were in the bag?
[1]
Roll 66 6-sided dice.
How many times would you expect to get anything except 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:


0.10.050.10.150.6
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
You shoot an arrow at a target. You will either score 20 (10% chance), 30 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
03
10
21
31
45
53

What fraction of the dogs score exactly 2?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 1 and a head?
[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:


0.10.050.10.75
12345
Number

What is the probability of rolling 2 or 3?
[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 66 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than 5?
[1]
A wheel has 13 sections, each has a reward in dollars, from $1 through to $13.
What prize do we expect to get if we spin the wheel?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score0
14
2
35
44
55

What is the probability of the people to score less than 3?
[2]
We asked a group of boys how many Apples they eat in a month. Here are the results:
Applesboys
06
15
24
34

What fraction of the boys eat exactly 4 Apples in a month?
[2]
A bag has 9 red balls, 8 green balls and 3 blue balls. You take out 1 ball.
What is the probability of getting a green ball or a blue ball?
[1]