Probability Powerplay
Level 6, 2026-10-29
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
blueorange
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a blue sedan?
[2]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.10.9
redpurple
Color

How many purple 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:


0.10.20.250.45
12345
Number

What is the probability of rolling 1 or 4?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.20.5
greenredblue
Color

How many green balls were in the bag?
[1]
A group of boys were timed running 100m. Here are the results:
boys

Time135
146
152
163
171

What fraction of the boys run 100m in exactly 15s?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 4 and a head or a tail?
[1]
Flip 1 coin.
What is the probability of getting a head?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
bluepurpleyellow
Color

If you choose a random ball from the bag, what is the probability of it being blue or purple?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
135
145
152
161
171

What is the probability of the boys to run 100m in exactly 17s?
[2]
A group of people did a math test and here are their scores out of 5:
people

Score03
15
2
34
44
5

What fraction of the people score less than 5?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
blueorange
Color

Probability of Type

0.50.5
sedanwagon
Type

What is the probability of a car being a orange wagon?
[2]
Roll 78 6-sided dice.
How many times would you expect to get more than 1?
[1]
Flip a coin 18 times.
Each time a head comes up you win $4 and with each tail you lose $3. It costs $28 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 anything except 1?
[1]
A wheel has 10 sections, each has a reward in dollars, from $1 through to $10.
What prize do we expect to get if we spin the wheel?
[1]