Probability Powerplay
Level 6, 2026-10-02
An obstacle course has 2 Fences and 1 Ditches. You have a 80% 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]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 10% chance of scoring a 40 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A bag has 6 balls with number 3 and 2 balls with a number 9. 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:


0.30.20.250.25
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.10.8
redorangepurple
Color

If you choose a random ball from the bag, what is the probability of it not being orange or red?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 5?
[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:


0.450.250.250.05
12345
Number

What is the probability of rolling a number that is smaller than 3?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
06
13
20
32
42
51

What fraction of the dogs score more than 3?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.10.10.8
redblueyellow
Color

If you choose a random ball from the bag, what is the probability of it not being red?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
yellowgreen
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a yellow wagon?
[2]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.50.5
purplered
Color

How many purple balls were in the bag?
[1]
Roll 102 6-sided dice.
How many times would you expect to get an even number?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 40 (10% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of kids were timed running 100m. Here are the results:
kids

4243
1314151617
Time

What fraction of the kids run 100m in more than 14s?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.10.9
orangegreen
Color

How many green balls were in the bag?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A wheel has 4 yellow sections and 8 pink sections.
What is the probability of getting yellow?
[1]