# Answer to Question #25090 in Statistics and Probability for sanjay kumar singh

Question #25090

From a deck of well-shuffled cards, you keep drawing cards. What is the average number of cards you need to draw before you get an ace?

Expert's answer

There are 4 outcomes you want (the 4 aces).

There are 52 outcomes possible (the 52 cards).

There are 48 outcomes you don't want (the 48 cards that aren't aces).

The probability of drawing an ace is 4/52 or 1/13.

There is inverse relationship between probability of drawing an ace& and average number.& =>

=> The average number of cards you need to draw before you get an ace is 13.

There are 52 outcomes possible (the 52 cards).

There are 48 outcomes you don't want (the 48 cards that aren't aces).

The probability of drawing an ace is 4/52 or 1/13.

There is inverse relationship between probability of drawing an ace& and average number.& =>

=> The average number of cards you need to draw before you get an ace is 13.

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