Probability Powerplay
Level 6, 2026-07-16
Flip a coin 2 times.
Each time a head comes up you win $3 and with each tail you lose $4. How much money would you expect to make altogether?
[1]
We asked a group of people how many Apples they eat in a day. Here are the results:
people

Apples01
11
23
36

What fraction of the people eat exactly 3 Apples in a day?
[2]
Roll 1 6-sided die.
What is the probability of getting a number smaller than or equal to 3?
[1]
We asked a group of girls how many Pizzas they eat in a month. Here are the results:
Pizzasgirls
02
10
20
36

What fraction of the girls eat exactly 3 Pizzas in a month?
[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:


0.10.9
12345
Number

What is the probability of rolling 3 or 5?
[1]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangepink
Color

How many orange balls were in the bag?
[1]
A wheel has 5 green sections and 7 orange sections.
What is the probability of getting green?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.60.4
greenredpurple
Color

If you choose a random ball from the bag, what is the probability of it being purple or green?
[1]
Roll 96 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.50.5
redblue
Color

How many blue balls were in the bag?
[1]
A bag has 10 red balls, 10 blue balls and 5 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

6345
1314151617
Time

What is the probability of the dogs to run 100m in less than 16s?
[2]
A group of people did a math test and here are their scores out of 5:
people

2316
012345
Score

What fraction of the people score less than 4?
[2]
A group of dogs did a math test and here are their scores out of 5:
dogs

51364
012345
Score

What fraction of the dogs score exactly 1?
[2]
Flip 7 coins.
What is the probability of getting 7 tails?
[1]