Answered

Get expert advice and community support for your questions on IDNLearn.com. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

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 :

AtsuiMizuidn
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
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.