Solves problems involving probability. Objectives: 1. Solve the word problem on probability involving simple, union and intersection events; and 2. Solve and apply real-life problems using the concepts of probability involving simple, union and intersection events. A. Solve: 1. A card is drawn from a deck of playing cards. What is the probability of drawing: a. a king c. a red card e. 2 or jack g. red or black card i. ace or clubs k. 10 or red card b. face card d. an ace f. heart or the king of spades? h. black card or queen of heart j. face card or diamond l. number card or spade
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The probability of drawing a king from a deck of playing cards is 4/52, since there are 4 kings in a deck of 52 cards. b. The probability of drawing a face card from a deck of playing cards is 12/52, since there are 12 face cards (4 kings, 4 queens, and 4 jacks) Show more…
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Probability I Answer each of the following questions regarding probability. For the purposes of this worksheet assume the following • A coin always lands on either heads or tails • A deck of cards has 52 cards ◦ There are four suits (clubs, hearts, diamonds, and spades) each with 13 cards ◦ There are two colors (black and red) each with 26 cards Problems: 1. If I flip a fair coin, what is the chance of the coin coming up heads? 2. If I draw a playing card from a shuffled deck, what is the chance of the card being red? 3. If I flip two fair coins at the same time, what is the chance of the coins both comping up heads? 4. If I draw two playing cards at the same time from a shuffled deck, what is the chance of both cards being red? 5. Why are the answers to problems 1 and 2 the same but the answers to problems 3 and 4 different?
Lucas F.
Work each problem. Drawing a Card $\mathrm{A}$ card is drawn from a well-shufflec deck of 52 cards. Find the probability that the card is as follows. A. a 9 B. black C. a black 9 D. a heart E. a face card (K, Q, or J of any suit) F. red or a 3 G. less than a 4 (count an ace as 1 )
Further Topics in Algebra
Probability
A normal deck of cards has 52 cards, consisting of 13 each of four suits: spades, hearts, diamonds, and clubs. Hearts and diamonds are red, while spades and clubs are black. Each suit has an ace, nine cards numbered 2 through 10, and three face cards. The face cards are a jack, a queen, and a king. Answer the following questions for a single card drawn at random from a well-shuffled deck of cards. a. What is the probability of drawing a king of any suit? b. What is the probability of drawing a face card that is also a spade? c. What is the probability of drawing a card without a number on it? d. What is the probability of drawing a red card? What is the probability of drawing an ace? What is the probability of drawing a red ace? Are these events ("ace" and "red") mutually exclusive? Are they independent? e. List two events that are mutually exclusive for a single draw from a deck of cards. f. What is the probability of drawing a red king? What is the probability of drawing a face card in hearts? Are these two events mutually exclusive? Are they independent?
Joshua A.
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