Probability Powerplay
Level 6, 2026-04-17
You shoot an arrow at a target. There is a 60% chance of scoring a 10 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[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:


0.10.050.050.8
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 4?
[1]
You shoot an arrow at a target. You will either score 10 (30% chance), 30 (40% chance), or 60. What average score do you expect to get if you do this many times?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
yellowgreen
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a green wagon?
[2]
A group of boys were timed running 100m. Here are the results:
boys

25354
1314151617
Time

What fraction of the boys run 100m in exactly 16s?
[2]
There are 4 balls in a bag. This is is the probability distribution of their color:


0.250.75
pinkgreen
Color

How many pink balls were in the bag?
[1]
Flip 7 coins.
What is the probability of getting 7 tails?
[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:


0.050.150.20.250.35
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 4?
[1]
You shoot an arrow at a target. You will either score 10 (50% chance), 40 (10% chance), or 60. What average score do you expect to get if you do this many times?
[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:


0.650.050.10.2
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
136
142
156
165
171

What is the probability of the boys to run 100m in exactly 16s?
[2]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 90%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
Flip a coin 14 times.
Each time a Tail comes up you win $3. It costs $14 to play (paid once). How much money would you expect to make altogether?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
02
16
20
31
44
56

What is the probability of the kids to score less than 5?
[2]
You flip a coin and roll a 10 sided die.
What is the probability of getting a 1 and a head?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.750.25
orangeblue
Color

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