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A bag contains 8 green marbles, 4 red marbles, and 3 blue marbles. Find the following probabilities. A. What is the probability that are marble selected at random is either red or blue? B. If 2 marbles are selected at random with replacement, what is the probability that both marbles are green? C. If 2 marbles are selected at random with replacement, what is the probability that one marble is red and one marble is green? D. What is the probability that the marble is not green? of over 5. Determine whether these events are mutually exclusive. Why? A. Roll a die: get a number that is even and less than 3. heen fant migos anditsxinso grillog noinigo B. Roll a die: get a number that is greater than 3 and get a number that is less than 3. C. Select a student from the classroom: a student has brown hair and blue eyes. D. Select a student from Midland Valley: a student is a senior and taking Prob & Stats. E. Select a card from a deck: get an ace and a heart. blorigawon F. Select a card from a deck: get a face card and a diamond. .zabilldedong anfwolof and buff .lead berov ate bria dining badov $98 jaitug batov sigope toProbability and Statistics Rules of Probability Name Elizabeth Tice 1. When you get to the light at an intersection, it is either red, yellow, or green. The probability of a red light is 0.61, a yellow light is 0.04, and a green light is 0.35. Think about your drive to school each morning during the week and find the following probabilities: A. What is the probability that the light is not green? atchem the lord B. What is the probability that the light is green or yellow? bolog ous kaldism S It C. What is the probability that the light is red on Monday and red on Tuesday? = C.1/ D. What is the probability that you will have to stop at the light at least once during the week? Is( w . "WW levibulbxe allowjum she zingvs sears fodderhy sniemets 2. Opinion polling organizations contact their respondents by telephone. Random telephone numbers are generated, and interviewers try to contact those households. According to the Pew Research Center for the People and the Press, the contact success rate is about 0.76. We can reasonably assume each household's response is independent of the others. Find the following probabilities. A. What is the probability that the interviewer successfully contacts the next household on her list? B. What is the probability that the interviewer successfully contacts both of the next two households on her list/ C. What is the probability that the interviewer's first successful contact is the third household on the list? D. What is the probability the interviewer makes at least one successful contact among the next five household on the list? 3. In 2001, the manufacturers of M&M's decided to add a new color. To decide which color to add, they surveyed people in nearly every country of the world and asked them to vote among purple, pink and teal. In the US 42% of people voted purple, 19% voted pink, and 37% voted teal. Find the following probabilities. A. What is the probability that a US M&M's survey respondent selected at random preferred either pink or teal? B. If we pick two people two respondents at random, what is the probability that they both selected purple? C. If we pick three people at random, what is the probability that at least one preferred pink
