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Q1. The probability that a leap year has 53 Sundays is 1) 2) 3) 4) Solution Number of days in a leap year = 366 = 52 weeks + 2 days In 52 weeks, there are 52 Sundays. Now, the remaining 2 days can be: Sunday and Monday Monday and Tuesday Tuesday and Wednesday Wednesday and Thursday Thursday and Friday Friday and Saturday Saturday and Sunday So, clearly there are a total of 7 possibilities. The leap year will have 53 Sundays if the last two days of the year are either Sunday and Monday or Saturday and Sunday. Thus, favorable outcomes = 2 Hence, Required Probability = Q2. A pair of dice are thrown once. Find the probability of getting the same number (doublet) on each dice. Solution When the dice are thrown, the number of out comes are as follows:   1, 1 ...
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