Probability Powerplay
Level 6, 2026-08-19
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:


0.20.20.150.10.35
12345
Number

What is the probability of rolling a 2?
[1]
A wheel has 8 sections, each has a reward in dollars, from $1 through to $8.
What prize do we expect to get if we spin the wheel?
[1]
Flip 7 coins.
What is the probability of getting 7 heads?
[1]
A bag has 9 red balls, 7 blue balls and 2 yellow balls. You take out a blue ball, then a yellow ball, then another ball.
What is the probability of getting red for the last ball?
[1]
We asked a group of dogs how many Chocolates they eat in a week. Here are the results:
dogs

2651
0123
Chocolates

What fraction of the dogs eat less than 4 Chocolates in a week?
[2]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
purpleorange
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a orange sedan?
[2]
A bag has 4 balls with numbers from 5 to 8. You take out 1 ball.
What is the probability of getting a ball with an even number?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowgreen
Color

How many green balls were in the bag?
[1]
Roll 48 6-sided dice.
How many times would you expect to get more than 4?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
05
11
23
32
46
54

What fraction of the people score less than 4?
[2]
A bag has 5 balls with numbers from 1 to 5. You take out 1 ball.
What is the probability of NOT getting the ball with the number 6?
[1]
A bag has 10 red balls, 3 blue balls and 5 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
We asked a group of people how many Strawberries they eat in a month. Here are the results:
Strawberriespeople
02
10
23
33

What is the probability of the people to eat more than 4 Strawberries in a month?
[2]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 90%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
You shoot an arrow at a target. You will either score 20 (40% chance), 30 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]