Probability Powerplay
Level 6, 2026-11-11
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:


0.10.150.20.55
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
Roll 36 6-sided dice.
How many times would you expect to get anything except 1?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
05
15
24
34
43
51

What is the probability of the dogs to score more than 4?
[2]
A bag has 7 red balls, 8 green balls and 10 blue balls. You take out 1 ball.
What is the probability of NOT getting a blue ball?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
purpleorange
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a purple wagon?
[2]
Flip a coin 18 times.
Each time a Tail comes up you win $4. It costs $27 to play (paid once). How much money would you expect to make altogether?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Flip a coin 12 times.
Each time a head comes up you win $4 and with each tail you lose $1. It costs $18 to play (paid once). How much money would you expect to make altogether?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.30.7
bluepurplepink
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
Roll 18 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
The chances of feeling like icecream are 70%. The chances of being near an icecream store are 70%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
A wheel has 6 sections, each has a reward in dollars, from $1 through to $6.
What prize do we expect to get if we spin the wheel?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 20 and a 30% chance of scoring a 40 and a 50% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
We asked a group of kids how many Hot dogs they eat in a day. Here are the results:
kids

Hot dogs04
1
23
33

What fraction of the kids eat exactly 1 Hot dogs in a day?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
greenredpurple
Color

If you choose a random ball from the bag, what is the probability of it not being red or purple?
[1]
A wheel has 2 blue sections and 2 green sections.
What is the probability of getting blue?
[1]
A wheel has 3 red sections and 7 green sections.
What is the probability of getting green?
[1]