Probability Powerplay
Level 6, 2026-10-03
Roll 72 6-sided dice.
How many times would you expect to get more than or equal to 1?
[1]
A bag has 6 balls with number 3 and 5 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
A wheel has 6 blue sections and 5 orange sections.
What is the probability of getting blue?
[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:


0.20.050.75
12345
Number

What is the probability of rolling a 1?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
pinkgreen
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a green wagon?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
redorangepink
Color

How many orange balls were in the bag?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
purpleorangeblue
Color

How many orange balls were in the bag?
[1]
A wheel has 3 yellow sections and 5 pink sections.
What is the probability of getting pink?
[1]
We asked a group of boys how many Popsicles they eat in a month. Here are the results:
Popsiclesboys
02
15
20
32

What fraction of the boys eat less than 2 Popsicles in a month?
[2]
You shoot an arrow at a target. There is a 60% chance of scoring a 20 and a 40% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
131
143
156
166
175

What is the probability of the kids to run 100m in less than 17s?
[2]
Flip a coin 18 times.
Each time a head comes up you win $4 and with each tail you lose $3. It costs $22 to play (paid once). How much money would you expect to make altogether?
[1]
There are 5 balls in a bag. This is is the probability distribution of their color:


0.80.2
greenblue
Color

How many blue 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:


0.750.150.1
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
A group of boys were timed running 100m. Here are the results:
boys

21212
1314151617
Time

What fraction of the boys run 100m in exactly 17s?
[2]
A wheel has 11 sections, each has a reward in dollars, from $1 through to $11.
What prize do we expect to get if we spin the wheel?
[1]