Probability Powerplay
Level 6, 2026-01-11
There are 20 balls in a bag. This is is the probability distribution of their color:


0.60.4
yellowgreenpurple
Color

If you choose a random ball from the bag, what is the probability of it being green or purple?
[1]
A bag has 3 balls with numbers from 1 to 3. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 0?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
01
15
21
32
41
50

What fraction of the kids score exactly 3?
[2]
Flip 7 coins.
What is the probability of getting 7 tails?
[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:


0.250.250.150.10.25
12345
Number

What is the probability of rolling 4 or 5?
[1]
A wheel has 10 sections, 2 of each color.
What is the probability of getting blue?
[1]
Flip a coin 2 times.
Each time a Head comes up you win $1. It costs $2 to play (paid once). How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 10 and a 10% chance of scoring a 30 and a 50% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
You shoot an arrow at a target. You will either score 20 (40% chance), 30 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A bag has 2 red balls and 6 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A bag has 8 balls with number 9 and 5 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 9?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 6?
[1]
Flip a coin 8 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
We asked a group of boys how many Oranges they eat in a month. Here are the results:
boys

43
0123
Oranges

What fraction of the boys eat exactly 2 Oranges in a month?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

1
pinkorange
Color

Probability of Type

0.60.4
sedanwagon
Type

What is the probability of a car being a pink wagon?
[2]
We asked a group of boys how many Icecreams they eat in a month. Here are the results:
Icecreamsboys
01
13
26
33

What fraction of the boys eat less than 3 Icecreams in a month?
[2]