Probability Powerplay
Level 6, 2026-08-19
You shoot an arrow at a target. There is a 60% chance of scoring a 20, 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 bag has 6 red balls and 9 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Roll 114 6-sided dice.
How many times would you expect to get more than 3?
[1]
A group of girls were timed running 100m. Here are the results:
girls

33336
1314151617
Time

What fraction of the girls 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:


0.80.050.050.1
12345
Number

What is the probability of rolling a number from 2 to 5?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
136
143
156
161
175

What is the probability of the people to run 100m in exactly 16s?
[2]
We asked a group of boys how many Hot dogs they eat in a month. Here are the results:
boys

1544
0123
Hot dogs

What fraction of the boys eat exactly 4 Hot dogs in a month?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.90.1
pinkpurpleblue
Color

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

Probability of Color

0.20.8
orangegreen
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a green sedan?
[2]
Flip a coin 16 times.
Each time a Tail comes up you win $4. How much money would you expect to make altogether?
[1]
A bag has 4 red balls and 9 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting red for the second ball?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time131
143
152
164
175

What fraction of the boys run 100m in exactly 17s?
[2]
A group of humans were timed running 100m. Here are the results:
humans

Time131
145
156
165
175

What fraction of the humans run 100m in exactly 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:


0.20.250.20.35
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]