Probability Powerplay
Level 6, 2026-09-04
Roll 72 6-sided dice.
How many times would you expect to get a number less than 5?
[1]
We asked a group of girls how many Peaches they eat in a month. Here are the results:
girls

553
0123
Peaches

What is the probability of the girls to eat more than 4 Peaches in a month?
[2]
There are 2 balls in a bag. This is is the probability distribution of their color:


0.50.5
bluered
Color

How many red balls were in the bag?
[1]
You shoot an arrow at a target. You will either score 20 (50% chance), 30 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of humans were timed running 100m. Here are the results:
humans

4663
1314151617
Time

What fraction of the humans run 100m in exactly 16s?
[2]
A bag has 8 red balls and 4 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $1. It costs $14 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of girls how many Bowls of Ramen they eat in a week. Here are the results:
girls

Bowls of Ramen04
1
2
32

What fraction of the girls eat exactly 4 Bowls of Ramen in a week?
[2]
You flip a coin and roll a 9 sided die.
What is the probability of getting a 3 and a head?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
yellowgreenpurple
Color

How many yellow 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 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:


0.50.150.250.1
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 90%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 40%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
Roll 78 6-sided dice.
How many times would you expect to get less than 1?
[1]
A bag has 6 red balls, 7 blue balls and 9 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]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 40%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]