Probability Powerplay
Level 6, 2026-05-15
A bag has 5 red balls and 2 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are 1 or 4?
[1]
Flip a coin 6 times.
Each time a Head comes up you win $2. How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. You will either score 10 (50% chance), 40 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
Roll 150 6-sided dice.
How many times would you expect to get an ugly number?
[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:


0.650.20.050.1
12345
Number

What is the probability of rolling 1 or 4?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

36462
012345
Score

What is the probability of the boys to score less than 0?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
orangered
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a orange wagon?
[2]
Flip 3 coins.
What is the probability of getting 3 tails?
[1]
We asked a group of people how many Sandwiches they eat in a week. Here are the results:
people

Sandwiches0
16
21
32

What fraction of the people eat more than 2 Sandwiches in a week?
[2]
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 50%. There is a 10% chance that you lost all your money.
What is the probability of having icecream?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
yelloworange
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 2 and a head?
[1]
A wheel has 10 sections, each with a different reward.
What is the probability of getting a Gummy Bear?
[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:


0.250.050.7
12345
Number

What is the probability of rolling a 2?
[1]
Roll 150 6-sided dice.
How many times would you expect to get a number more than 6?
[1]