Probability Powerplay
Level 6, 2026-04-08
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:


0.90.050.05
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
A bag has 10 red balls, 4 blue balls and 8 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20, a 30% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A wheel has 11 sections, each a number on it from 1 to 11. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
The weather forecast says that the chances of rain are 30%. 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]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.50.5
purplepinkred
Color

If you choose a random ball from the bag, what is the probability of it being purple?
[1]
Flip a coin 12 times.
Each time a head comes up you win $1 and with each tail you lose $1. It costs $9 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 7 balls with numbers from 5 to 11. You take out 1 ball.
What is the probability of getting a ball with a number 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:


0.70.050.10.15
12345
Number

What is the probability of rolling a 1?
[1]
Roll 36 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
greenpink
Color

Probability of Type

0.70.3
sedanwagon
Type

What is the probability of a car being a green sedan?
[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:


0.10.050.250.150.45
12345
Number

What is the probability of rolling a 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:


0.70.150.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
Flip a coin 10 times.
Each time a Head comes up you win $4. 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:


0.10.250.65
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
You roll a 8 sided die and a 3 sided die.
What is the probability of getting 3 on both dice?
[1]
A group of kids were timed running 100m. Here are the results:
kids

424
1314151617
Time

What fraction of the kids run 100m in more than 15s?
[2]
The weather forecast says that the chances of rain are 70%. Your chance of being outside today is 40%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]