In a standard deck of cards, what is the probability of drawing a red card or a face card
|
lestie consequat, ultrice Show
congue vel laoreet ac, dictum vitae od iscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui le cing elit. Nam lacinia pulvinar tortor ne ongue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur a e vel laoreet ac, dictum vitae at, ultrices ac magna. Fusce dui lectus, congu sus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus, cong molesti m risus ante, d ng elit. Nam lacinia pu
Question 958153: In an ordinary deck of 52 cards, how many cards are either RED or FACE CARDS? Answer by Theo(12310) You can put this solution on YOUR
website! p(A or B) = p(A) + p(B) - p(A and B) p(A and B) means the probability of both A and B occurring at the same time. you have 52 cards in the deck. 26 of the cards are red (either diamonds or hearts). There are 12 face cards in the deck. They are: 4 Kings 6 of the face cards are red (diamonds or hearts) and 6 of the face cards are black (spaces or clubs). let A be the event that you have a red card. Since there are 26 red cards in the deck, then p(A) = 26/52. let B be the event that you have a face card. Since there are 12 face cards in the deck, then p(B) = 12/52. let A and B be the event that you have cards that are both red and face cards. Since there are 6 red face cards in the deck, then p(A and B) = 6/52. p(A) + p(B) - p(A and B) is therefore equal to 26/52 + 12/52 - 6/52 = 32/52. the probability that you will have a red card or a face card is equal to 32/52. Why did we subtract the cards that are red and face cards at the same time? Because, if we didn't, they would be double counted. They would be counted as red cards and they would be counted again as face cards. Since they are the same card, we needed to remove the double counting which is why we subtracted the number of cards that were both red and face cards at the same time. Probability of drawing a red face card out of#52# cards is#3/26# Explanation:There are #6# red face cards in total cards of #52#. Solution Probability of drawing a red face card from a deck of cardProbability is a branch of mathematics that deals with the occurrence of a random event. The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.Probability of event to happen P(E) = NumberoffavourableoutcomesTotalNumberofoutcomes.There are 52 cards in a deck of playing cards. If a card is drawn from this well-shuffled deck, the total number of all possible outcomes is 52i.e. n(S)=52 Let A be the event of drawing a red face card.Number of face cards in the deck is 12Number of red face cards in the deck is A=6Then, the number of possible outcomes of event A be n(A)=6 P(A)=NumberoffavourableoutcomesoftheeventATotalnumberofpossibleoutcomes⇒P(A)=n(A )n(S)⇒P(A)=652⇒P(A) =326Hence, the probability of drawing a red face card from a deck of cards is 3/26.
Isabella B. 8/13, 8/39, 1/8, 1/13? this qre the options More 1 Expert Answer
Jon S. answered • 05/28/20 Patient and Knowledgeable Math and English Tutor There are 26 red cards so the probability of drawing a red card is 26/52 There are 12 face cards (jack,queen,king of each suit) so the probability of drawing one is 12/52 There are 6 face cards that are red so the probability of drawing one is 6/52 The probability of drawing a red card or a face card is 26/52 + 12/52 - 6/52 = 32/52 = 8/13 Still looking for help? Get the right answer, fast.ORFind an Online Tutor Now Choose an expert and meet online. No packages or subscriptions, pay only for the time you need. What is the probability of drawing a face card?The probability of drawing a face card is 12/52. However, three of the clubs are also face cards, so there are only 22 of the 52 cards that are either clubs or face cards.
What is the probability of drawing a heart or a red card in a standard deck of 52 cards?1 Expert Answer
The probability that you draw a red card is 26/52 or 1/2, since half the cards in the deck are red. Since you replace the card, the probabiity that you draw a heart is 13/52 or 1/4, since a quarter of the cards are hearts.
|
