Probability Powerplay
Level 6, 2026-07-10
A group of dogs were timed running 100m. Here are the results:
dogs

Time135
142
156
165
174

What is the probability of the dogs to run 100m in less than 16s?
[2]
Roll 90 6-sided dice.
How many times would you expect to get anything except 2?
[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:


0.750.10.15
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 2?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

156124
012345
Score

What fraction of the dogs score less than 3?
[2]
A group of boys were timed running 100m. Here are the results:
boys

1253
1314151617
Time

What is the probability of the boys to run 100m in exactly 17s?
[2]
A bag has 6 balls with number 1 and 5 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
A bag has 3 balls with number 6 and 8 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
A bag has 9 red balls and 9 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting red for the second ball?
[1]
You shoot an arrow at a target. You will either score 10 (30% chance), 30 (30% chance), or 60. What average score do you expect to get if you do this many times?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
134
145
155
164
175

What fraction of the people run 100m in exactly 17s?
[2]
Roll 12 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
Flip a coin 14 times.
Each time a Head comes up you win $1. It costs $27 to play (paid once). How much money would you expect to make altogether?
[1]
Flip a coin 8 times.
Each time a head comes up you win $4 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
Roll 120 6-sided dice.
How many times would you expect to get more than 4?
[1]
Roll 108 6-sided dice.
How many times would you expect to get a number less than 0?
[1]
Roll 54 6-sided dice.
How many times would you expect to get a number more than 6?
[1]