There are 10 single digit numbers from 0 - 9
(a) Total Possible tickets (with repetition) = 10 * 10 * 10 = 1000
Probability = Favorable Outcomes / Total Outcomes
Probability of winning = 1 (only 1 number in the correct order
Therefore the required probability = 1 / 1000 = 0.001
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(b) Probability = Favorable Outcomes / Total Outcomes
Favorable outcomes
If 3 distinct numbers are picked: Then number of outcomes = 3! = 6
If 2 similar and 1 distinct number is picked: Then number of outcomes = 3
If 3 similar numbers are picked: Then number of outcomes = 1
Therefore Total Favorable outcomes = 10
The Required probability = 10 / 1000 = 1 / 100 = 0.01
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(c) Probability that the 3 numbers are distinct
Favorable outcomes = 10 * 9 * 8 = 720
Therefore the required probability = 720 / 1000 = 72 / 100 = 18 / 25 = 0.72
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