Question
- A number is chosen at random from 1 to 25 . Find the probability of selecting a number greater than 15 .
- 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
- Find the probability of rolling factors of 10 .
robability With a Single Die
Ask by Wheeler Craig. in the Philippines
Jan 20,2025
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Answer
3. Probability of Selecting a Number Greater Than 15 from 1 to 25:
- Total numbers: 25
- Numbers greater than 15: 10
- Probability: 10/25 = 2/5 or 40%
4. Probability of Selecting an Even Number or a Multiple of 3 from 1 to 25:
- Total numbers: 25
- Even numbers: 12
- Multiples of 3: 8
- Both even and multiples of 3: 4
- Favorable outcomes: 12 + 8 - 4 = 16
- Probability: 16/25 or 64%
5. Probability of Rolling Factors of 10 with a Single Die:
- Total outcomes: 6
- Factors of 10 on a die: 1, 2, 5
- Favorable outcomes: 3
- Probability: 3/6 = 1/2 or 50%
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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!