Probability Powerplay
Level 6, 2026-10-30
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 60%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

511345
012345
Score

What is the probability of the kids to score exactly 1?
[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:


0.60.20.150.05
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
A bag has 10 red balls and 7 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
Roll 36 6-sided dice.
How many times would you expect to get more than 4?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are 1 or 4?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.7
redyellowpurple
Color

How many purple balls were in the bag?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 30, a 50% chance of scoring a 60, or you might miss completely and score 0. 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:


0.70.10.2
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
redorange
Color

Probability of Type

0.20.8
wagonsedan
Type

What is the probability of a car being a orange wagon?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 4 and a head or a tail?
[1]
A bag has 2 balls with numbers from 3 to 4. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.750.25
yellowpurple
Color

How many yellow balls were in the bag?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score04
16
23
31
4
56

What fraction of the humans score exactly 4?
[2]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 40%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A bag has 8 red balls, 4 green balls and 2 blue balls. You take out 1 ball.
What is the probability of NOT getting a green ball?
[1]
You shoot an arrow at a target. There is a 80% chance of scoring a 30 and a 20% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]