Probability Powerplay
Level 6, 2026-10-25
A group of people did a math test and here are their scores out of 5:
Scorepeople
05
14
22
35
41
54

What fraction of the people score less than 3?
[2]
Flip a coin 4 times.
Each time a Tail comes up you win $4. How much money would you expect to make altogether?
[1]
There are 18 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenorange
Color

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

Score02
12
26
35
43
55

What is the probability of the girls to score exactly 0?
[2]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
01
13
20
35
46
55

What is the probability of the girls to score exactly 2?
[2]
A bag has 8 balls with numbers from 1 to 8. You take out 1 ball.
What is the probability of NOT getting the ball with the number 9?
[1]
Roll 24 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A bag has 2 balls with number 5 and 8 balls with a number 2. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of kids how many Sandwiches they eat in a month. Here are the results:
kids

1426
0123
Sandwiches

What fraction of the kids eat less than 3 Sandwiches in a month?
[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:


0.30.10.250.250.1
12345
Number

What is the probability of rolling a number that is smaller than 3?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
orangeyellow
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a yellow sedan?
[2]
A group of people did a math test and here are their scores out of 5:
people

Score02
1
26
31
44
55

What is the probability of the people to score less than 5?
[2]