Probability Powerplay
Level 6, 2026-01-20
Roll 138 6-sided dice.
How many times would you expect to get less than 2?
[1]
The weather forecast says that the chances of rain are 90%. Your chance of being outside today is 70%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[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:


0.250.20.20.35
12345
Number

What is the probability of rolling a number that is bigger than 2 and smaller than 5?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
130
141
151
162
175

What is the probability of the kids to run 100m in exactly 17s?
[2]
The weather forecast says that the chances of rain are 20%. 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]
Roll 150 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
A wheel has 7 sections, each has a reward in dollars, from $1 through to $7.
What prize do we expect to get if we spin the wheel?
[1]
A group of girls were timed running 100m. Here are the results:
girls

63444
1314151617
Time

What fraction of the girls run 100m in less than 14s?
[2]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 70%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
Flip a coin 14 times.
Each time a head comes up you win $3 and with each tail you lose $1. How much money would you expect to make altogether?
[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:


0.250.250.050.250.2
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 3?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 40%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 6 red balls and 10 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
yellowbluered
Color

How many blue balls were in the bag?
[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:


0.20.20.10.150.35
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 3?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.20.8
redyellowpurple
Color

How many red balls were in the bag?
[1]
Flip a coin 16 times.
Each time a Head comes up you win $3. How much money would you expect to make altogether?
[1]
A bag has 3 balls with numbers from 4 to 6. You take out 1 ball.
What is the probability of NOT getting the ball with the number 5?
[1]