question and answer 1-12 Please see attached file If there are 2 possible outcomes for event A, 5 possible outcomes for event B, and 5 possible outcomes for event C, how many possible outcomes are there for event A & event B & event C? Note that these three events are independent of each other and the outcome of one even does not impact the outcome of the ot QUESTION 2 If there are 7 possible outcomes for event A and 5 possible outcomes for event B, how many possible outcomes are there for event A & event B? Note that these two events are independent of each other and the outcome of one even does not impact the outcome of the other event. QUESTION 3 A lock has a three digit numeric code, with the numbers 1 through 6 available for each digit of the code. Note that numbers can be repeated in the code, so there are 6 possibilities for each of the three digits. Find the total number of possible codes for the lock. QUESTION 4 Calculate the number of permutations of 10 things 2 at a time. QUESTION 5 A political party in a certain state holds a primary for President of the United States and awards delegates to the top three candidates with the most votes. Calculate the number of possible finishes for 1st, 2nd and 3rd place in a race with 12 candidates. QUESTION 6 Calculate the combinations of 5 things 2 at a time. QUESTION 7 Calculate the number of three-person committees that can be formed from a group of 6 QUESTION 8 A bag contains 3 colors of balls – red, yellow, and black. There are 4 red balls, 2 yellow balls, and 7 black balls. If one ball is selected at random from the bag, find the probability that it is NOT red. Round your answer to the nearest hundredth. QUESTION 9 A bag contains 3 colors of balls – red, yellow, and black. There are 8 red balls, 4 yellow balls, and 7 black balls. If one ball is selected at random from the bag, find the probability that it is red or yellow. Round your answer to the nearest hundredth QUESTION 10 A bag contains 3 colors of balls – red, yellow, and black. There are 1 red balls, 4 yellow balls, and 4 black balls. If one ball is selected at random from the bag, find the probability that it is yellow. Round your answer to the nearest hundredth. QUESTION 11 Event A has 4 possible outcomes, and event B has 5 possible outcomes. To find the total number of outcomes for events A & B, multiply the number of possible outcomes for events A and B, which is 4 x 5. True False QUESTION 12 The number of permutations of 5 things 3 at a time is (5)(4)(3) or 60. True False
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