Probability Powerplay
Level 6, 2026-10-07
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.90.1
blueorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
Flip 7 coins.
What is the probability of getting 7 heads?
[1]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
Roll 102 6-sided dice.
How many times would you expect to get less than 5?
[1]
Flip 2 coins.
What is the probability of getting 2 heads?
[1]
Flip 7 coins.
What is the probability of getting 7 tails?
[1]
Flip a coin 8 times.
Each time a head comes up you win $3 and with each tail you lose $2. It costs $6 to play (paid once). How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
Roll 30 6-sided dice.
How many times would you expect to get less than or equal to 2?
[1]
Roll 84 6-sided dice.
How many times would you expect to get more than or equal to 6?
[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:


0.450.20.20.10.05
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
orangepurpleblue
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[1]
There are 32 balls in a bag. This is is the probability distribution of their color:


0.750.25
purplegreen
Color

How many green balls were in the bag?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 20% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time133
142
15
161
173

What is the probability of the dogs to run 100m in less than 17s?
[2]
We asked a group of girls how many Strawberries they eat in a month. Here are the results:
Strawberriesgirls
06
16
25
35

What is the probability of the girls to eat more than 3 Strawberries in a month?
[2]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 40%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]