Probability Powerplay
Level 6, 2026-03-29
Roll 120 6-sided dice.
How many times would you expect to get more than 1?
[1]
You shoot an arrow at a target. You will either score 20 (20% chance), 40 (20% chance), or 60. What average score do you expect to get if you do this many times?
[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:


0.050.20.75
12345
Number

What is the probability of rolling a number from 2 to 3?
[1]
A wheel has 13 sections, each has a reward in dollars, from $1 through to $13.
What prize do we expect to get if we spin the wheel?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time13
144
155
165
174

What is the probability of the girls to run 100m in less than 13s?
[2]
A bag has 5 balls with numbers from 4 to 8. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 4?
[1]
Flip a coin 14 times.
Each time a Head comes up you win $1. How much money would you expect to make altogether?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
pinkpurple
Color

Probability of Type

1
sedanwagon
Type

What is the probability of a car being a pink sedan?
[2]
Flip a coin 16 times.
Each time a head comes up you win $2 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time133
143
15
163
173

What is the probability of the girls to run 100m in exactly 13s?
[2]
A group of girls did a math test and here are their scores out of 5:
girls

Score01
13
2
34
41
55

What fraction of the girls score more than 0?
[2]
A group of boys were timed running 100m. Here are the results:
Timeboys
132
144
155
161
175

What fraction of the boys run 100m in exactly 15s?
[2]
You roll a 4 sided die and a 10 sided die.
What is the probability of getting 5 on both dice?
[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:


0.50.10.050.250.1
12345
Number

What is the probability of rolling 2 or 3?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 40% chance of scoring a 40 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]