1. The probability is 6/20, which simplifies to 3/10.
2. The probability is 9/27, which simplifies to 1/3.
3. The numbers divisible by 5 from 1 to 81 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80 — a total of 16 numbers. The probability is 16/81.
4. The digits in the number 224,839,287 are: 2, 2, 4, 8, 3, 9, 2, 8, 7. The even digits are 2, 2, 4, 8, 2, 8 — a total of 6 even digits out of 9 total digits. The probability is 6/9, which simplifies to 2/3.
5. Let x be the number of women. Then the number of men is 28 - x. The probability that a randomly selected person is a man is (28 - x)/28 = 3/7. Solving for x: 7(28 - x) = 3 * 28 → 196 - 7x = 84 → 7x = 112 → x = 16. There are 16 women in the meeting.
Parent Tip: Review the logic above to help your child master the concept of probability of simple events worksheet.