Probability Powerplay
Level 6, 2026-07-29
A group of people did a math test and here are their scores out of 5:
people

55543
012345
Score

What fraction of the people score less than 3?
[2]
A group of boys were timed running 100m. Here are the results:
boys

Time132
146
153
164
175

What is the probability of the boys to run 100m in exactly 17s?
[2]
A bag has 9 red balls, 8 green balls and 3 blue balls. You take out 1 ball.
What is the probability of NOT getting a red ball?
[1]
Roll 126 6-sided dice.
How many times would you expect to get an even number?
[1]
A bag has 9 red balls, 4 blue balls and 9 yellow balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 6?
[1]
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 60%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
You shoot an arrow at a target. You will either score 10 (10% chance), 30 (10% chance), or 60. What average score do you expect to get if you do this many times?
[1]
Roll 138 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

643236
012345
Score

What fraction of the dogs score less than 3?
[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:


0.30.20.250.25
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
A wheel has 7 sections, each has a reward in dollars, from $1 through to $7.
What prize do we expect to get if we spin the wheel?
[1]
A wheel has 5 yellow sections and 7 pink sections.
What is the probability of getting yellow?
[1]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]
Roll 36 6-sided dice.
How many times would you expect to get an even number?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
pinkpurple
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a purple wagon?
[2]