Probability Powerplay
Level 6, 2025-12-19
A bag has 3 red balls and 10 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Roll 72 6-sided dice.
How many times would you expect to get an ugly number?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
135
141
156
162
174

What is the probability of the girls to run 100m in exactly 13s?
[2]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?
[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:


0.60.250.15
12345
Number

What is the probability of rolling a number from 2 to 3?
[1]
Roll 30 6-sided dice.
How many times would you expect to get an even number?
[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:


0.550.20.20.05
12345
Number

What is the probability of rolling a 1?
[1]
Roll 12 6-sided dice.
How many times would you expect to get more than or equal to 2?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.10.9
bluepink
Color

How many pink balls were in the bag?
[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:


0.150.20.150.20.3
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
The weather forecast says that the chances of rain are 30%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 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:


0.70.20.1
12345
Number

What is the probability of rolling a number from 1 to 3?
[1]
A bag has 3 balls with numbers from 3 to 5. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 2?
[1]
A group of girls were timed running 100m. Here are the results:
girls

14551
1314151617
Time

What is the probability of the girls to run 100m in exactly 16s?
[2]
A bag has 2 red balls, 2 blue balls and 2 yellow balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $2. It costs $23 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 72 6-sided dice.
How many times would you expect to get less than or equal to 3?
[1]