Probability

Step 1: The probability of an event is given by the formula: Step 2: Here, the number of favorable outcomes is the frequency of 5, which is 150. The total number of outcomes is 1000. Thus, the probability that the die shows 5 is .

Step 1: Total number of balls in the bag = . Step 2: The number of balls that are neither red nor black are the white balls, which are 5 in number. Step 3: The probability of drawing a ball that is neither red nor black is: Thus, the probability is .

In a leap year, there are 366 days, which is equivalent to 52 full weeks and 2 extra days. For a leap year to have 53 Sundays, the extra days must include a Sunday. The extra days can be any of the following pairs: 1. Sunday and Monday 2. Monday and Tuesday 3. Tuesday and Wednesday 4. Wednesday and Thursday 5. Thursday and Friday 6. Friday and Saturday 7. Saturday and Sunday Thus, there are 2 favorable outcomes (Sunday-Monday and Saturday-Sunday) out of 7 possible outcomes. Thus, the probability is .