Probability Powerplay
Level 6, 2026-06-22
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:


0.050.95
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 1?
[1]
Roll 42 6-sided dice.
How many times would you expect to get more than 2?
[1]
A bag has 10 red balls, 4 blue balls and 3 yellow balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
blueyellow
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a yellow sedan?
[2]
A bag has 6 balls with number 6 and 6 balls with a number 2. What will be the average of the numbers of the balls taken out of 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:


0.30.250.150.150.15
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
A bag has 8 red balls, 3 green balls and 5 blue balls. You take out 1 ball.
What is the probability of getting a blue ball or a red ball?
[1]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 70%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.40.6
bluepurplered
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
greenred
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a red sedan?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.20.10.7
blueredgreen
Color

How many red balls were in the bag?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are 1 or 4?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.60.4
orangeredyellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange or yellow?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time136
144
155
163
17

What fraction of the humans run 100m in more than 16s?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 2?
[1]
We asked a group of dogs how many Burgers they eat in a day. Here are the results:
dogs

15
0123
Burgers

What is the probability of the dogs to eat exactly 2 Burgers in a day?
[2]