Probability Powerplay
Level 6, 2026-10-17
A wheel has 11 sections, each has a reward in dollars, from $1 through to $11.
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:
Scorepeople
02
12
21
30
40
55

What fraction of the people score exactly 2?
[2]
You roll a 6 sided die and a 3 sided die.
What is the probability of getting 4 on both dice?
[1]
We asked a group of girls how many Pizzas they eat in a week. Here are the results:
girls

6163
0123
Pizzas

What is the probability of the girls to eat exactly 4 Pizzas in a week?
[2]
We asked a group of boys how many Bowls of Ramen they eat in a day. Here are the results:
boys

Bowls of Ramen03
11
23
36

What fraction of the boys eat exactly 2 Bowls of Ramen in a day?
[2]
Roll 72 6-sided dice.
How many times would you expect to get a number more than 2?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
orangegreenpink
Color

How many pink balls were in the bag?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score06
12
2
33
45
56

What fraction of the people score more than 5?
[2]
An obstacle course has 1 Fences and 2 Ditches. You have a 50% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[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:


0.10.10.10.7
12345
Number

What is the probability of rolling a number from 1 to 5?
[1]
Roll 66 6-sided dice.
How many times would you expect to get a number less than 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:


0.750.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 5?
[1]
A group of boys were timed running 100m. Here are the results:
boys

6556
1314151617
Time

What is the probability of the boys to run 100m in more than 17s?
[2]