Probability Powerplay
Level 6, 2026-04-16
Flip a coin 8 times.
Each time a head comes up you win $1 and with each tail you lose $4. It costs $11 to play (paid once). How much money would you expect to make altogether?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
orangered
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 5?
[1]
The weather forecast says that the chances of rain are 40%. Your chance of being outside today is 50%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
A bag has 9 red balls, 10 blue balls and 8 yellow balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
136
141
156
161
172

What fraction of the kids run 100m in more than 14s?
[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:


0.050.10.150.7
12345
Number

What is the probability of rolling a number from 3 to 4?
[1]
Roll 150 6-sided dice.
How many times would you expect to get more than 2?
[1]
Roll 144 6-sided dice.
How many times would you expect to get anything except 1?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 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:


0.20.250.050.5
12345
Number

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


0.50.40.1
yelloworangepink
Color

How many yellow balls were in the bag?
[1]
Roll 30 6-sided dice.
How many times would you expect to get more than 6?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
orangegreen
Color

Probability of Type

0.30.7
wagonsedan
Type

What is the probability of a car being a green sedan?
[2]
We asked a group of girls how many Pillows they eat in a month. Here are the results:
girls

526
0123
Pillows

What fraction of the girls eat exactly 2 Pillows in a month?
[2]