3. A number is chosen at random from 1 to 25 . Find the probability of selecting a number greater than 15 . 4. A number is chosen at random from 1 to 25 . Find the probability of selecting an even number or multiple of 3 . robability With a Single Die 5. Find the probability of rolling factors of 10 .
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When you choose a number greater than 15 from a set of numbers ranging from 1 to 25, there are 10 favorable outcomes (16 through 25). With a total of 25 possible numbers, the probability of selecting one greater than 15 is 10 out of 25, which simplifies to 2/5. So, you have a 40% chance of landing that lucky higher number! For the second question, we want to find the probability of picking either an even number or a multiple of 3 in the range of 1 to 25. There are 12 even numbers (2, 4, 6, ..., 24) and 8 multiples of 3 (3, 6, 9, ..., 24), but the number 6 is counted in both sets. So we add 12 + 8 and then subtract the 1 overlap: 12 + 8 - 1 = 19 favorable outcomes. The probability of selecting an even number or a multiple of 3 is then 19 out of 25, making it a favorable 76%! Rolling a die gives you six outcomes (1 to 6). Factors of 10 are 1, 2, 5, and 10. However, since you can’t roll a 10 on a standard die, you're left with 1 (1 is a factor of every number), 2, and 5. That totals 3 favorable outcomes from the available 6. Therefore, the probability of rolling a factor of 10 is 3 out of 6, simplifying to 1/2. So, get ready to roll that die with a 50% chance to land on a factor of 10!