Probability Powerplay
Level 6, 2026-05-11
There are 70 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
orangeblueyellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.10.7
pinkgreenpurple
Color

If you choose a random ball from the bag, what is the probability of it being pink?
[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:


0.250.050.20.20.3
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
Roll 84 6-sided dice.
How many times would you expect to get an even number?
[1]
A wheel has 2 sections, each a different color.
What is the probability of getting yellow?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 30, a 50% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 114 6-sided dice.
How many times would you expect to get more than or equal to 5?
[1]
We asked a group of dogs how many Sandwiches they eat in a day. Here are the results:
dogs

252
0123
Sandwiches

What is the probability of the dogs to eat exactly 3 Sandwiches in a day?
[2]
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]
You shoot an arrow at a target. You will either score 20 (30% chance), 30 (30% chance), or 60. What average score do you expect to get if you do this many times?
[1]
A bag has 3 balls with number 2 and 6 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
Flip a coin 8 times.
Each time a head comes up you win $4 and with each tail you lose $4. It costs $1 to play (paid once). How much money would you expect to make altogether?
[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:


0.250.250.20.3
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

6553
1314151617
Time

What fraction of the dogs run 100m in more than 14s?
[2]
You roll a 6 sided die and a 8 sided die.
What is the probability of getting 1 on both dice?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
redpurple
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a red wagon?
[2]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are even?
[1]