Probability Powerplay
Level 6, 2026-08-25
A group of people were timed running 100m. Here are the results:
people

Time13
141
155
163
173

What is the probability of the people to run 100m in exactly 15s?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 20% chance of scoring a 40 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 10% chance of scoring a 30 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A bag has 10 red balls and 9 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
We asked a group of people how many Bowls of Ramen they eat in a week. Here are the results:
people

5234
0123
Bowls of Ramen

What is the probability of the people to eat more than 2 Bowls of Ramen in a week?
[2]
We asked a group of girls how many Sandwiches they eat in a month. Here are the results:
girls

Sandwiches01
11
24
3

What is the probability of the girls to eat exactly 2 Sandwiches in a month?
[2]
A group of people were timed running 100m. Here are the results:
Timepeople
134
143
153
164
176

What is the probability of the people to run 100m in exactly 13s?
[2]
Flip a coin 12 times.
Each time a Head comes up you win $3. How much money would you expect to make altogether?
[1]
A bag has 3 balls with numbers from 3 to 5. You take out 1 ball.
What is the probability of getting a ball with a number less than 3?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkyellow
Color

How many yellow balls were in the bag?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
orangeredgreen
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

0.20.8
yellowblue
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
Roll 36 6-sided dice.
How many times would you expect to get an even number?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
greenpinkblue
Color

If you choose a random ball from the bag, what is the probability of it not being pink?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are 1 or 4?
[1]