Probability Powerplay
Level 6, 2026-11-07
Roll 54 6-sided dice.
How many times would you expect to get an even number?
[1]
There are 24 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkpurple
Color

How many purple balls were in the bag?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.30.20.5
purplebluegreen
Color

How many green balls were in the bag?
[1]
Roll 60 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score0
16
2
32
46
55

What fraction of the dogs score more than 0?
[2]
A group of girls were timed running 100m. Here are the results:
girls

2666
1314151617
Time

What is the probability of the girls to run 100m in exactly 17s?
[2]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
orangeyellowred
Color

How many orange balls were in the bag?
[1]
Flip a coin 4 times.
Each time a Tail comes up you win $2. It costs $4 to play (paid once). How much money would you expect to make altogether?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.50.5
purpleyellowblue
Color

If you choose a random ball from the bag, what is the probability of it not being blue or purple?
[1]
A bag has 2 balls with numbers from 2 to 3. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.6
blueredpurple
Color

If you choose a random ball from the bag, what is the probability of it being blue or red?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.30.7
greenorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it not being green or orange?
[1]
Roll 114 6-sided dice.
How many times would you expect to get a number less than 4?
[1]
We asked a group of boys how many Apples they eat in a day. Here are the results:
Applesboys
02
13
23
30

What fraction of the boys eat more than 3 Apples in a day?
[2]
A bag has 4 red balls, 3 green balls and 10 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?
[1]
A wheel has 3 blue sections and 7 orange sections.
What is the probability of getting orange?
[1]