Probability Powerplay
Level 6, 2026-08-02
A group of girls did a math test and here are their scores out of 5:
Scoregirls
01
15
21
36
43
50

What is the probability of the girls to score more than 5?
[2]
A bag has 6 red balls and 8 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A wheel has 12 sections, each a number on it from 1 to 12. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
Flip a coin 8 times.
Each time a head comes up you win $1 and with each tail you lose $2. It costs $9 to play (paid once). How much money would you expect to make altogether?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
yellowpinkred
Color

How many yellow 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:


0.250.250.150.050.3
12345
Number

What is the probability of rolling 1 or 5?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
00
15
25
36
41
54

What fraction of the boys score exactly 2?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
pinkred
Color

Probability of Type

0.50.5
sedanwagon
Type

What is the probability of a car being a red sedan?
[2]
Roll 114 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time133
146
154
163
17

What fraction of the boys run 100m in exactly 15s?
[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:


0.70.10.050.050.1
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 1?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

151664
012345
Score

What is the probability of the dogs to score less than 1?
[2]
A bag has 9 balls with number 3 and 9 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 126 6-sided dice.
How many times would you expect to get more than or equal to 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:


0.550.250.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 2?
[1]