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1. A die is rolled 20 times. The results are 3, 2, 1, 1, 3, 5, 4, 2, 6, 2, S, 3, 5, 3,1,3, 5,

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1. A die is rolled 20 times. The results are 3, 2, 1, 1, 3, 5, 4, 2, 6, 2, S, 3, 5, 3,1,3, 5, 2, 1, 2 Using the relative frequency approach, what should be the approximate value of rolling a 2? 2. A bag contains 1 red, 1 blue and 1 green marble. Two marbles are chosen with replacement (a) Using R, G and B respectively for the red marble, green marble and blue marbles, write out the entire sample space for the possible outcomes. (b) Using the classicalapproach, what is the probability exactly one red marble was chosen? 3. A bag contains 5 red, 2 green and 3 Blue marbles . Two marbles are drawn from the bag. a) What is the probability of choosing a green marble both times if selection is done without replacement? bl What is the probability of choosing at least 1 red marble if selection is done with replacement? 4) Two coins are each flipped 100 times. The number of Heads and Tails results are recorded. Coin 1 88 12 CoinZ 21 79 For each part, one coin flip result of the 200 is randomly selected. a) What is the probability the result is Heads? bl What is the probability that the result is Heads g was obtained from Coin 1? c) Given that the result is Tails, what is the probability the result was obtained from Coin 2? 5) A music group wishes to put 14 songs on their next album. a) In how many different orders may the songs be placed on the album if all ofthem can fit

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