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MATH / I draw a card from a standard 52-card deck. If I draw an Ace, I win 1 dollar. If…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

I draw a card from a standard 52-card deck. If I draw an Ace, I win 1 dollar. If I draw a 2 through 10, I win a number of dollars equal to the value of the card. If I draw a face card (Jack, Queen, or King), I win 20 dollars. If I draw a $\clubsuit$, my winnings are doubled, and if I draw a $\spadesuit$, my winnings are tripled. (For example, if I draw the $8\clubsuit$, then I win 16 dollars.) What would be a fair price to pay to play the game? Express your answer as a dollar value rounded to the nearest cent. Your answer should be a number with two digits after the decimal point, like 21.4321.43.
Plain-text mathematical notation (without MathML)
I draw a card from a standard 52-card deck.  If I draw an Ace, I win 1 dollar.  If I draw a 2 through 10, I win a number of dollars equal to the value of the card.  If I draw a face card (Jack, Queen, or King), I win 20 dollars.  If I draw a $\clubsuit$, my winnings are doubled, and if I draw a $\spadesuit$, my winnings are tripled.  (For example, if I draw the $8\clubsuit$, then I win 16 dollars.)  What would be a fair price to pay to play the game?  Express your answer as a dollar value rounded to the nearest cent.

Your answer should be a number with two digits after the decimal point, like 21.43.
Original LaTeX notation
I draw a card from a standard 52-card deck.  If I draw an Ace, I win 1 dollar.  If I draw a 2 through 10, I win a number of dollars equal to the value of the card.  If I draw a face card (Jack, Queen, or King), I win 20 dollars.  If I draw a $\clubsuit$, my winnings are doubled, and if I draw a $\spadesuit$, my winnings are tripled.  (For example, if I draw the $8\clubsuit$, then I win 16 dollars.)  What would be a fair price to pay to play the game?  Express your answer as a dollar value rounded to the nearest cent.

Your answer should be a number with two digits after the decimal point, like $21.43$.

level

Level 5

type

Counting & Probability

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Source and history

task_id
324dd70c-5a76-5fd1-8b02-791ad56b9e79
task_key
counting~5fand~5fprobability--test--324dd70c-5a76-5fd1-8b02-791ad56b9e79
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import