Probability Powerplay
Level 6, 2026-07-14
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 5?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 40 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of kids were timed running 100m. Here are the results:
kids

5164
1314151617
Time

What fraction of the kids run 100m in exactly 14s?
[2]
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:


0.90.1
12345
Number

What is the probability of rolling a 1?
[1]
We asked a group of humans how many Popsicles they eat in a month. Here are the results:
humans

3613
0123
Popsicles

What fraction of the humans eat less than 4 Popsicles in a month?
[2]
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:


0.550.050.250.15
12345
Number

What is the probability of rolling 1 or 3?
[1]
A bag has 4 red balls, 7 blue balls and 2 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
You roll a 9 sided die and a 5 sided die.
What is the probability of getting 4 on both dice?
[1]
A group of boys were timed running 100m. Here are the results:
boys

21155
1314151617
Time

What fraction of the boys run 100m in exactly 17s?
[2]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 30% chance of scoring a 30 and a 50% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
redpurpleblue
Color

How many blue balls were in the bag?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
130
142
153
162
171

What is the probability of the kids to run 100m in exactly 14s?
[2]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
03
16
20
34
44
50

What is the probability of the boys to score less than 1?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are even?
[1]
Flip a coin 18 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]