Probability Powerplay
Level 6, 2025-11-11
A bag has 7 balls with number 3 and 4 balls with a number 2. What will be the average of the numbers of the balls taken out of the bag
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
greenblue
Color

How many blue balls were in the bag?
[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:


0.450.10.20.25
12345
Number

What is the probability of rolling a number that is smaller than 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:


0.150.20.65
12345
Number

What is the probability of rolling a 1?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 10 and a 40% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
A group of humans were timed running 100m. Here are the results:
Timehumans
130
142
151
161
175

What fraction of the humans run 100m in exactly 17s?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
purplebluegreen
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[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:


0.250.150.6
12345
Number

What is the probability of rolling a 3?
[1]
The chances of feeling like icecream are 80%. 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]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.750.25
yellowgreen
Color

How many green balls were in the bag?
[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:


0.70.10.050.15
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
purpleredpink
Color

If you choose a random ball from the bag, what is the probability of it being red or purple?
[1]
There are 25 balls in a bag. This is is the probability distribution of their color:


0.20.8
greenpurple
Color

How many green balls were in the bag?
[1]
We asked a group of kids how many Peaches they eat in a day. Here are the results:
kids

166
0123
Peaches

What is the probability of the kids to eat less than 3 Peaches in a day?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
redorange
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a orange sedan?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.50.5
purpleredyellow
Color

If you choose a random ball from the bag, what is the probability of it being red or yellow?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
bluepurplepink
Color

If you choose a random ball from the bag, what is the probability of it being pink or purple?
[1]