Probability Powerplay
Level 6, 2026-07-30
You shoot an arrow at a target. You will either score 20 (10% chance), 40 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 6?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[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:


0.30.050.250.150.25
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
Roll 1 6-sided die.
What is the probability of getting an odd number?
[1]
Flip a coin 6 times.
Each time a Head comes up you win $3. How much money would you expect to make altogether?
[1]
Flip a coin 4 times.
Each time a Tail comes up you win $2. It costs $7 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 42 6-sided dice.
How many times would you expect to get anything except 6?
[1]
A bag has 8 balls with numbers from 2 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 10?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 3?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowpinkred
Color

If you choose a random ball from the bag, what is the probability of it not being yellow?
[1]
Flip a coin 4 times.
Each time a head comes up you win $1 and with each tail you lose $3. It costs $1 to play (paid once). How much money would you expect to make altogether?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 4?
[1]
Roll 1 6-sided die.
What is the probability of getting a 6?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score06
12
24
31
4
55

What is the probability of the girls to score exactly 0?
[2]
Roll 18 6-sided dice.
How many times would you expect to get less than 6?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
redblue
Color

Probability of Type

0.50.5
sedanwagon
Type

What is the probability of a car being a red wagon?
[2]
A bag has 2 red balls, 3 blue balls and 2 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]