Discrete Probability: Use a Venn diagram to illustrate A ∩ B = A ∪ B. You may use more than one diagram.
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Discrete Probability:
Use a Venn diagram to illustrate A ∩ B = A ∪ B. You may use more than one diagram.
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- Hector is playing a new video game. To get to the next level, he must capture the golden brick and then choose the correct door. The chance that he captures the golden brick is 70%. The chance that he chooses the correct door is 40%. The probability that he does both is 20%. Create a Venn Diagram and determine the probability that: He captures the golden brick and chooses the correct door He only captures the golden brick He only chooses the correct door He doesn’t complete either taskA sit-down restaurant has two types of appetizers: garden salad and buffalo wings. It has three entrees: Spaghetti, steak and chicken. And it offers three types of dessert: ice cream, cake and pie. Draw a tree diagram to represent all the meals a customer can order at this restaurant. How many different meals can a customer order at this restaurant? What is the probability a diner selects a meal of salad, steak, and pie?8. Four people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. The tree diagram represents all possible outcomes. Rob Sonja Jack Ang T-shirt Mug T-shirt Mug T-shirt Mug T-shirt Mug Part A What is the probability that Ang wins and is given a mug? Explain. Part B Will the probability change if the prize were chosen first? Explain.
- I DOWNLOAD T. Tools - 6. The probability of getting two-of-a-kind in poker is .0475, three-of-a-kind is .0211, and four-of-a-kind is .00024. If Tim plays 1,455 hands of poker, how many times should he EXPECT to get each of the following? a. Two-of-a-kind b. Three-of-a-kind с. Four-of-a-kind 図Roll a pair of fair six-sided dice and let X be 1 if the dice land showing the same number of spots, and 0 otherwise. For example, if both dice land 2, then X = 1, but if one lands 2 and the other lands 3, then X = 0. What is P(X = 1)? Explain your reasoning below.An experiment consists of rolling a pair of fair dice, one red and one green. An outcome is an ordered pair (r,g), where r is the number on the red die and g is the number on the green die. List all outcomes of this experiment.
- Choose an American adult at random. The probability that you choose a woman is 0.52. The probability that the person you choose has never married is 0.24. DRAW A TREE DIAGRAM to find the probability that the person you choose is a woman who has been married.A. Suppose you close your eyes and randomly select one M&M from your pile, find the probability of grabbing a color that contains the letter “r”or a color that contains the letter “o”. B. Suppose you close your eyes and randomly select one M&M from your pile, replace that M&M, and select another M&M from the pile. What is the probability that you will select an orange and a yellow M&M? C. Suppose you close your eyes and randomly select two M&M’s from your pile, without replacing the first M&M. What is the probability that you will select a red and a blue M&M?Luis is playing a paint ball game. To win, he must capture the flag and choose the correct escape route. The chance that he captures the flag is 62%. The chance that he chooses the correct escape route is 68%. The probability that he does both is 41%. Create a Venn Diagram and determine the probability that: He captures the flag and chooses the correct route He only captures the flag He only chooses the correct route He doesn’t complete either task
- A card is drawn at random from a deck of 52 cards. Find the probability of drawing a face card. (A face card is a king, queen, or jack.) Find the probability of drawing either a king or a queen. Find the probability of drawing either a red card with face value at least 10 or a black card with face value at most 6.Multiple-choice questions each have five possible answers ( a, b, c, d ), one of which is correct. Assume that you guess the answers to three such questions. a. Use the multiplication rule to find P(CWC), where C denotes a correct answer and W denotes a wrong answer. b. Beginning with CWC ,make a complete list of the different possible arrangements of two correct answers and one wrong answer ,then find the probability for each entry in the list. P(CWC)= P(WCC)= P(CCW)= c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses are made?
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