Probability Powerplay
Level 6, 2026-07-31
Cars go by on a road, each is a different color and type.

Probability of Color

1
purpleblue
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
You shoot an arrow at a target. You will either score 20 (40% chance), 30 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A wheel has 14 sections, each has a reward in dollars, from $1 through to $14.
What prize do we expect to get if we spin the wheel?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
133
142
150
166
174

What is the probability of the boys to run 100m in more than 16s?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
yellowblueorange
Color

If you choose a random ball from the bag, what is the probability of it not being yellow or orange?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.7
yellowgreenblue
Color

How many blue balls were in the bag?
[1]
We asked a group of dogs how many Strawberries they eat in a month. Here are the results:
dogs

144
0123
Strawberries

What is the probability of the dogs to eat more than 2 Strawberries 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 50. What average score do you expect to get if you do this many times?
[1]
Roll 90 6-sided dice.
How many times would you expect to get more than 5?
[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:


0.150.150.20.5
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
There are 2 balls in a bag. This is is the probability distribution of their color:


0.50.5
yellowgreen
Color

How many green balls were in the bag?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 5?
[1]
Flip a coin 18 times.
Each time a head comes up you win $3 and with each tail you lose $4. It costs $33 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 12 6-sided dice.
How many times would you expect to get more than 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
redyellow
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
A wheel has 8 yellow sections and 3 blue sections.
What is the probability of getting blue?
[1]