1. If one three-digit number (0 cannot be a left digit) is chosen at random from

Question

1. If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can be made from the following set of digits, find the probability that the one chosen is not a multiple of 10. {0, 1, 2, 3, 4, 5, 6, 7, 8}
2. Two integers are randomly selected from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} and are added together. Find the probability that their sum is 5 if they are selected (a) with replacement (b) without replacement 1. If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can be made from the following set of digits, find the probability that the one chosen is not a multiple of 10. {0, 1, 2, 3, 4, 5, 6, 7, 8}
2. Two integers are randomly selected from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} and are added together. Find the probability that their sum is 5 if they are selected (a) with replacement (b) without replacement {0, 1, 2, 3, 4, 5, 6, 7, 8}
2. Two integers are randomly selected from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} and are added together. Find the probability that their sum is 5 if they are selected (a) with replacement (b) without replacement

Explanation / Answer

1) total 3 digit number = 8*9*9 = 648

Number of digits that are multiple of 10 = 8*7 = 56

P(choosen number is not multiple of 10) = 1 - P(choosen number is multiple of 10) = 1 - 56/648 = 0.936

2)samplespace for sum of 5 = {(1,4),(2,3)}

a) P(sum is 5) = 2/(9*9) = 0.0247

B)P(sum is 5) = 2/9C2 = 2/36 = 0.0556

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