Probability Powerplay
Level 6, 2026-07-01
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:


0.40.20.20.10.1
12345
Number

What is the probability of rolling 3 or 5?
[1]
There are 4 balls in a bag. This is is the probability distribution of their color:


0.250.75
orangered
Color

How many orange 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:


0.750.050.2
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 4?
[1]
A bag has 4 balls with number 8 and 3 balls with a number 5. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
Flip a coin 12 times.
Each time a Head comes up you win $2. It costs $23 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 8 red balls and 5 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.250.75
pinkpurple
Color

How many purple balls were in the bag?
[1]
A wheel has 14 sections, each has a reward in dollars, from $1 through to $14.
What prize do we expect to get if we spin the wheel?
[1]
A bag has 6 red balls, 7 blue balls and 3 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]
There are 120 balls in a bag. This is is the probability distribution of their color:


0.10.9
pinkyellow
Color

How many pink balls were in the bag?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
131
140
155
166
170

What is the probability of the boys to run 100m in less than 13s?
[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:


0.550.050.150.25
12345
Number

What is the probability of rolling 2 or 5?
[1]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenpink
Color

How many pink balls were in the bag?
[1]
A bag has 2 balls with numbers from 3 to 4. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 2?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score01
16
25
31
46
51

What fraction of the dogs score less than 0?
[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:


0.250.050.7
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

1451
012345
Score

What fraction of the dogs score exactly 0?
[2]