Probability Powerplay
Level 6, 2026-05-30
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[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:


0.150.20.10.20.35
12345
Number

What is the probability of rolling a number from 3 to 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
greenblue
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a green wagon?
[2]
We asked a group of people how many Icecreams they eat in a week. Here are the results:
people

Icecreams04
15
21
36

What is the probability of the people to eat less than 0 Icecreams in a week?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.7
redorangeblue
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
Roll 12 6-sided dice.
How many times would you expect to get more than 5?
[1]
We asked a group of dogs how many Bowls of Ramen they eat in a day. Here are the results:
dogs

Bowls of Ramen04
16
21
3

What fraction of the dogs eat less than 0 Bowls of Ramen in a day?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.20.20.6
blueorangepurple
Color

How many orange balls were in the bag?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 10, a 30% 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 people did a math test and here are their scores out of 5:
people

Score0
15
21
33
42
52

What is the probability of the people to score more than 3?
[2]
A bag has 8 red balls and 4 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
A bag has 4 red balls, 6 blue balls and 4 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[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:


0.90.050.05
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
A bag has 5 balls with numbers from 2 to 6. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 6?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time136
146
155
166
172

What fraction of the girls run 100m in exactly 13s?
[2]