Probability Powerplay

Level 6, 2026-01-25

A bag has 8 balls with number 8 and 8 balls with a number 5. What will be the average of the numbers of the balls taken out of the bag

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Flip a coin 18 times.
Each time a Tail comes up you win $4. It costs $36 to play (paid once). How much money would you expect to make altogether?

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A bag has 3 balls with number 6 and 8 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 2?

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A group of humans did a math test and here are their scores out of 5:

What is the probability of the humans to score more than 5?

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A wheel has 9 sections, each has a reward in dollars, from $1 through to $9.
What prize do we expect to get if we spin the wheel?

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Roll 1 6-sided die.
What is the probability of getting a 4?

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Roll 18 6-sided dice.
How many times would you expect to get more than 5?

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There are 30 balls in a bag. This is is the probability distribution of their color:

If you choose a random ball from the bag, what is the probability of it being orange?

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A wheel has 14 sections, each has a reward in dollars, from $1 through to $14.
What prize do we expect to get if we spin the wheel?

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Flip 7 coins.
What is the probability of getting 7 heads?

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A group of dogs were timed running 100m. Here are the results:

What is the probability of the dogs to run 100m in more than 13s?

[2]

A wheel has 11 sections, each has a reward in dollars, from $1 through to $11.
What prize do we expect to get if we spin the wheel?

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A group of humans were timed running 100m. Here are the results:

What is the probability of the humans to run 100m in exactly 15s?

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Flip 3 coins.
What is the probability of getting 3 tails?

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There are 70 balls in a bag. This is is the probability distribution of their color:

How many pink balls were in the bag?

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Roll 150 6-sided dice.
How many times would you expect to get an ugly number?

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Roll 1 6-sided die.
What is the probability of getting an even number?

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