Probability Powerplay
Level 6, 2026-07-06
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 6?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% 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]
Roll 66 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Roll 84 6-sided dice.
How many times would you expect to get less than 1?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.60.4
orangeyellowblue
Color

If you choose a random ball from the bag, what is the probability of it not being orange or yellow?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score06
14
22
3
44
51

What is the probability of the kids to score exactly 4?
[2]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 5?
[1]
A bag has 3 balls with number 8 and 3 balls with a number 4. What will be the average of the numbers of the balls taken out of the bag
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A bag has 3 red balls, 6 blue balls and 10 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]
Roll 48 6-sided dice.
How many times would you expect to get less than 6?
[1]
A wheel has 6 yellow sections and 8 red sections.
What is the probability of getting yellow?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
05
13
21
31
41
50

What fraction of the girls score exactly 5?
[2]
A group of boys were timed running 100m. Here are the results:
boys

414
1314151617
Time

What fraction of the boys run 100m in exactly 17s?
[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:


0.250.75
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]
Flip a coin 8 times.
Each time a head comes up you win $3 and with each tail you lose $3. It costs $14 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 1 6-sided die.
What is the probability of getting an odd number?
[1]