SOLUTION: How many ways can three items be selected from a group of five items? Use the letters A, B, C, D, and E to identify the items, and list each of the different combinations of three
Question 1146577: How many ways can three items be selected from a group of five items? Use the letters A, B, C, D, and E to identify the items, and list each of the different combinations of three items. 2. How many permutations of three items can be selected from a group of five? Use the letters A, B, C, D, and E to identify the items, and list each of the permutations of items B, D, and F. 3. Consider the experiment of tossing a coin three times. Develop a tree diagram for the experiment. List the experimental outcomes. What is the probability for each experimental outcome? 4. Suppose an experiment has five equally likely outcomes: E1, E2, E3, E4, E5. Assign probabilities to each outcome and show that the requirements for a probability distribution are. What method did you use? 5. An experiment with three outcomes has been repeated 50 times, and it was learned that E1 occurred 20 times, E2 occurred 13 times, and E3 occurred 17 times. Assign probabilities to the outcomes. What method did you use? 6. A decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: P(E1) = .10, P(E2) = .15, P(E3) = .40, and P(E4) = .20. Are these probability assignments valid? Explain. 7. The Powerball lottery is played twice each week in 31 states, the District of Columbia, and the Virgin Islands. To play Powerball, a participant must purchase a $2 ticket, select five numbers from the digits 1 through 59, and then select a Powerball number from the digits 1 through 35. To determine the winning numbers for each game, lottery officials draw 5 white balls out a drum of 59 white balls numbered 1 through 59 and 1 red ball out of a drum of 35 red balls numbered 1 through 35. To win the Powerball jackpot, a participant’s numbers must match the numbers on the 5 white balls in any order and must also match the number on the red Powerball. a. How many Powerball lottery outcomes are possible? Hint: Consider this a two-step experiment. Select the 5 white ball numbers and then select the 1 red Powerball number. b. What is the probability that a $2 lottery ticket wins the Powerball lottery? 8. An experiment has four equally likely outcomes: E1, E2, E3, and E4. a. What is the probability that E2 occurs? b. What is the probability that any two of the outcomes occur (e.g., E1 or E3)? c. What is the probability that any three of the outcomes occur (e.g., E1 or E2 or E4)? 9. Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1/52 probability. a. List the sample points in the event an ace is selected. b. List the sample points in the event a club is selected. c. List the sample points in the event a face card (jack, queen, or king) is selected. d. Find the probabilities associated with each of the events in parts (a), (b), and (c). Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
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