Probability Powerplay
Level 6, 2026-05-16
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:


0.050.150.20.10.5
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.70.3
orangepinkred
Color

How many pink balls were in the bag?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 50%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[1]
We asked a group of kids how many Sandwiches they eat in a month. Here are the results:
kids

Sandwiches0
15
24
32

What fraction of the kids eat exactly 0 Sandwiches in a month?
[2]
You flip a coin and roll a 8 sided die.
What is the probability of getting a 1 and a head?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 20% chance of scoring a 40 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time132
145
154
161
175

What fraction of the girls run 100m in exactly 16s?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
greenyellowpink
Color

How many green balls were in the bag?
[1]
Flip 3 coins.
What is the probability of getting 3 heads?
[1]
We asked a group of girls how many Pillows they eat in a day. Here are the results:
girls

Pillows0
15
23
3

What is the probability of the girls to eat exactly 2 Pillows in a day?
[2]
You shoot an arrow at a target. There is a 10% chance of scoring a 20 and a 10% chance of scoring a 40 and a 80% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
The weather forecast says that the chances of rain are 70%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
Roll 126 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
Roll 132 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score03
1
25
3
45
56

What fraction of the girls score less than 4?
[2]