Probability Powerplay
Level 6, 2026-11-04
There are 40 balls in a bag. This is is the probability distribution of their color:


0.50.40.1
bluepurpleorange
Color

How many orange balls were in the bag?
[1]
A bag has 6 red balls, 6 green balls and 2 blue balls. You take out 1 ball.
What is the probability of getting a green ball or a blue ball?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30 and a 40% chance of scoring a 40. 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:


0.550.050.20.2
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
pinkbluegreen
Color

If you choose a random ball from the bag, what is the probability of it being pink or blue?
[1]
A bag has 4 balls with number 8 and 5 balls with a number 7. What will be the average of the numbers of the balls taken out of the bag
[1]
Flip a coin 18 times.
Each time a head comes up you win $1 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
A bag has 10 red balls, 3 blue balls and 9 yellow 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]
A bag has 2 red balls, 10 blue balls and 4 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Roll 36 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
We asked a group of kids how many Sandwiches they eat in a month. Here are the results:
kids

Sandwiches03
16
26
36

What is the probability of the kids to eat exactly 1 Sandwiches in a month?
[2]
Roll 126 6-sided dice.
How many times would you expect to get an odd number?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 12?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
greenorange
Color

Probability of Type

0.60.4
sedanwagon
Type

What is the probability of a car being a green sedan?
[2]
A bag has 8 balls with number 5 and 8 balls with a number 7. What will be the average of the numbers of the balls taken out of the bag
[1]
A group of kids did a math test and here are their scores out of 5:
kids

51155
012345
Score

What fraction of the kids score less than 3?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
greenorangeblue
Color

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