Probability Powerplay
Level 6, 2026-11-14
A wheel has 6 sections, each has a reward in dollars, from $1 through to $6.
What prize do we expect to get if we spin the wheel?
[1]
Roll 42 6-sided dice.
How many times would you expect to get a number more than 4?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score0
12
23
36
46
5

What fraction of the girls score more than 1?
[2]
A bag has 11 balls with numbers from 2 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 1?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.90.1
greenyelloworange
Color

How many orange balls were in the bag?
[1]
There are 14 balls in a bag. This is is the probability distribution of their color:


0.50.5
purpleorange
Color

How many purple balls were in the bag?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.60.20.2
redbluepurple
Color

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


0.30.250.050.150.25
12345
Number

What is the probability of rolling a 4?
[1]
A bag has 9 balls with numbers from 3 to 11. You take out 1 ball.
What is the probability of NOT getting the ball with the number 10?
[1]
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
Flip 1 coin.
What is the probability of getting a head?
[1]
Roll 18 6-sided dice.
How many times would you expect to get less than 1?
[1]
You shoot an arrow at a target. You will either score 20 (30% chance), 30 (10% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A bag has 5 balls with numbers from 3 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
yelloworange
Color

Probability of Type

0.50.5
sedanwagon
Type

What is the probability of a car being a orange wagon?
[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:


0.50.250.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[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:


0.050.250.050.65
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]