Probability Powerplay
Level 6, 2026-08-22
A bag has 8 balls with number 4 and 7 balls with a number 5. You take out 1 ball.
What is the probability of getting the ball with the number 5?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 10% chance of scoring a 40 and a 60% chance of scoring a 60. 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:
Timekids
134
145
154
163
172

What is the probability of the kids to run 100m in more than 13s?
[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:


0.50.20.050.150.1
12345
Number

What is the probability of rolling a 2?
[1]
A bag has 3 balls with number 3 and 7 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of boys how many Apples they eat in a month. Here are the results:
boys

5561
0123
Apples

What fraction of the boys eat exactly 0 Apples in a month?
[2]
Roll a die 108 times.
How many times would you expect to get a 3?
[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:


0.40.250.20.15
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
greenpink
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a pink sedan?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.20.8
purpleyellow
Color

Probability of Type

0.70.3
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
Flip a coin 14 times.
Each time a head comes up you win $4 and with each tail you lose $1. How much money would you expect to make altogether?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
redgreen
Color

Probability of Type

0.70.3
sedanwagon
Type

What is the probability of a car being a red sedan?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
pinkred
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a red wagon?
[2]
There are 120 balls in a bag. This is is the probability distribution of their color:


0.10.9
redorange
Color

How many orange balls were in the bag?
[1]