Probability Powerplay
Level 6, 2026-09-19
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 and a head?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 5?
[1]
A bag has 4 balls with number 8 and 6 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 90 6-sided dice.
How many times would you expect to get less than or equal to 2?
[1]
A group of kids were timed running 100m. Here are the results:
kids

5125
1314151617
Time

What is the probability of the kids to run 100m in less than 17s?
[2]
Roll 84 6-sided dice.
How many times would you expect to get anything except 4?
[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]
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:


0.20.10.250.45
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.30.6
blueredyellow
Color

How many yellow balls were in the bag?
[1]
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]
You shoot an arrow at a target. There is a 60% chance of scoring a 20 and a 40% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.8
redorange
Color

How many red balls were in the bag?
[1]
You shoot an arrow at a target. There is a 90% chance of scoring a 30 and a 10% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
We asked a group of dogs how many Peaches they eat in a month. Here are the results:
Peachesdogs
06
16
20
31

What is the probability of the dogs to eat more than 0 Peaches in a month?
[2]
Roll 54 6-sided dice.
How many times would you expect to get more than 4?
[1]
We asked a group of boys how many Strawberries they eat in a day. Here are the results:
Strawberriesboys
05
13
22
35

What is the probability of the boys to eat exactly 2 Strawberries in a day?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.40.6
orangepinkred
Color

How many red balls were in the bag?
[1]