Probability Powerplay
Level 6, 2026-10-30
A bag has 7 red balls, 9 blue balls and 5 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.60.4
orangeyellowpurple
Color

If you choose a random ball from the bag, what is the probability of it being purple?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
redpurpleorange
Color

If you choose a random ball from the bag, what is the probability of it being orange?
[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:


0.80.2
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
The weather forecast says that the chances of rain are 80%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time132
142
153
166
175

What is the probability of the dogs to run 100m in more than 16s?
[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:


0.150.20.10.55
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 10, a 30% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[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:


0.550.150.150.15
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
A bag has 6 balls with numbers from 4 to 9. You take out 1 ball.
What is the probability of NOT getting the ball with the number 7?
[1]
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 50%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.90.1
redbluegreen
Color

If you choose a random ball from the bag, what is the probability of it being red?
[1]
The weather forecast says that the chances of rain are 50%. 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]
Roll 96 6-sided dice.
How many times would you expect to get an odd number?
[1]
Roll 66 6-sided dice.
How many times would you expect to get an even number?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


1
orangeyellowred
Color

If you choose a random ball from the bag, what is the probability of it not being red?
[1]
Roll 78 6-sided dice.
How many times would you expect to get more than 1?
[1]
Flip a coin 4 times.
Each time a head comes up you win $1 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
Flip 7 coins.
What is the probability of getting 7 heads?
[1]