Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a club, the second card will be a red card, and the third card will be an ace? Express your answer as a fraction or a decimal number rounded to four decimal places.

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01-10-2021
Mathematics

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Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a club, the second card will be a red card, and the third card will be an ace? Express your answer as a fraction or a decimal number rounded to four decimal places.

Sagot :

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AtsuiMizu AtsuiMizu · Answer 1 · 2021-10-01T22:47:02-04:00

Answer: 1/104

There are 52 Cards in a Deck.

There are 13 type of each suit in a deck. So theres a 13/52 chance of getting a club.

Half the deck of 52 cards is red, and the other half is black. So theres a 26/52 chance of getting a red card.

There are only 4 aces in a deck (spade, club, heart, diamond). So theres a 4/52 chance of getting an ace.

*Note: Because the cards are replaced it’ll always be divided by 52 cards

Multiply the chances of getting each probability to get the answer:
(13/52) * (26/52) * (4/52) = 1/104

Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a club, the second card will be a red card, and the third card will be an ace? Express your answer as a fraction or a decimal number rounded to four decimal places.

Sagot :

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