Probability Powerplay
Level 6, 2025-12-17
There are 70 balls in a bag. This is is the probability distribution of their color:


0.20.8
blueyellowred
Color

How many blue balls were in the bag?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
greenredpink
Color

If you choose a random ball from the bag, what is the probability of it being red or pink?
[1]
We asked a group of people how many Popsicles they eat in a month. Here are the results:
people

Popsicles06
14
26
35

What fraction of the people eat more than 3 Popsicles in a month?
[2]
You shoot an arrow at a target. You will either score 10 (20% chance), 40 (30% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% 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]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.80.2
orangepurple
Color

How many orange balls were in the bag?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
131
141
151
166
173

What is the probability of the girls to run 100m in exactly 14s?
[2]
We asked a group of dogs how many Bowls of Ramen they eat in a day. Here are the results:
dogs

Bowls of Ramen01
13
21
35

What is the probability of the dogs to eat less than 0 Bowls of Ramen in a day?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
redpinkpurple
Color

If you choose a random ball from the bag, what is the probability of it being pink or red?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.50.20.3
bluepurpleorange
Color

If you choose a random ball from the bag, what is the probability of it being purple or blue?
[1]
Flip a coin 4 times.
Each time a head comes up you win $1 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
Flip a coin 4 times.
Each time a head comes up you win $1 and with each tail you lose $4. How much money would you expect to make altogether?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are even?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 6?
[1]
A group of humans were timed running 100m. Here are the results:
humans

54243
1314151617
Time

What fraction of the humans run 100m in less than 14s?
[2]