Probability Powerplay
Level 6, 2026-09-07
The chances of feeling like icecream are 90%. 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]
The weather forecast says that the chances of rain are 30%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 60%.
What is the probability of getting wet today?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]
You shoot an arrow at a target. There is a 80% chance of scoring a 30 and a 20% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 18 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkyellow
Color

How many yellow balls were in the bag?
[1]
Roll 18 6-sided dice.
How many times would you expect to get more than 1?
[1]
We asked a group of dogs how many Bowls of Ramen they eat in a week. Here are the results:
Bowls of Ramendogs
02
11
20
30

What fraction of the dogs eat less than 3 Bowls of Ramen in a week?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 3 and a head?
[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:


0.450.050.10.250.15
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
blueyellow
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a yellow sedan?
[2]
You shoot an arrow at a target. There is a 60% chance of scoring a 20 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
bluegreen
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a blue wagon?
[2]
We asked a group of boys how many Bananas they eat in a week. Here are the results:
boys

5464
0123
Bananas

What fraction of the boys eat exactly 2 Bananas in a week?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

44142
1314151617
Time

What is the probability of the dogs to run 100m in exactly 13s?
[2]
Roll 144 6-sided dice.
How many times would you expect to get more than 3?
[1]