a card is randomly selected from a deck of card. Find the probability that it is a black card or a face card 5 years ago There are 52 cards in a deck in total. Of those 52 cards, there are four different suits (diamonds, hearts, clubs, spades). There are 13 cards in each of the different suits. Also, there are 3 face cards in each of the different suits (therefore, there are 12 face cards in total). Diamonds and Hearts are red cards (there are 26 total red cards) and Clubs and Spades are black cards (there are 26 total black cards). There are 26 black cards and 12 face cards in total. However, of those 26 black cards, there are 6 face cards. That means there are 26+12-6 = 32 cards in total that are either a black card or a face card, but not both. That means the answer to the question is 32/52 = 8/13. Take this 5-min test to see how close you are to achieving your language learning goals. 5 years ago A = number of black cards B = number of picture cards (or face cards) C = number of black picture cards There are 26 black cards (spades and clubs), so A = 26. There are 3 picture cards (Jack, Queen, King) in each suit. There are 4 suits (clubs, hearts, spades, diamonds). So there are 3*4 = 12 picture cards. This means B = 12 There are 2 suits which are black (spades and clubs) with 3 face cards per suit, so 2*3 = 6 cards which are both black cards and face cards. So C = 6 The number of cards that are either black cards or a face card, or both, is... D = A+B-C D = 26+12-6 D = 32 So there are 32 cards that are either black cards or a face card, or both This is out of 52 cards total, so probability of selecting a black card or a picture card = D/52 probability of selecting a black card or a picture card = 32/52 probability of selecting a black card or a picture card = 8/13 The final answer, as a fraction, is 8/13 Find an online tutor for 1-on-1 lessons and master the knowledge you need! Prices from just $5 per hour. Explore tutorsPreply uses cookies according to the settings of your browser. Detailed information can be found in the Cookies Policy No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today!
No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Suggest Corrections 1 |