Probability Powerplay
Level 6, 2025-12-18
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:


0.20.10.7
12345
Number

What is the probability of rolling a 1?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

5431
1314151617
Time

What fraction of the dogs run 100m in exactly 14s?
[2]
Flip 3 coins.
What is the probability of getting 3 heads?
[1]
A bag has 10 red balls, 4 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 yellow 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:


0.50.150.20.050.1
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
The weather forecast says that the chances of rain are 30%. 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]
There are 80 balls in a bag. This is is the probability distribution of their color:


1
yelloworangegreen
Color

How many green balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
pinkblue
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a pink wagon?
[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:


0.80.050.15
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 5?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
greenorange
Color

Probability of Type

0.10.9
wagonsedan
Type

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


0.10.9
redyellow
Color

How many red balls were in the bag?
[1]
A bag has 7 balls with number 5 and 5 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 5?
[1]
A bag has 4 balls with number 9 and 8 balls with a number 5. What will be the average of the numbers of the balls taken out of the bag
[1]
You shoot an arrow at a target. There is a 10% chance of scoring a 20 and a 40% 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]
You roll a 8 sided die and a 3 sided die.
What is the probability of getting 4 on both dice?
[1]
A bag has 11 balls with numbers from 2 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 13?
[1]