1. Total sweets = 6 red + 14 blue = 20 sweets.
Probability of blue sweet = number of blue sweets / total sweets = 14/20 = 7/10.
2. Total students = 18 boys + 9 girls = 27 students.
Probability of selecting a girl = number of girls / total students = 9/27 = 1/3.
3. Cards numbered 1 to 81.
Numbers divisible by 5: 5, 10, 15, ..., 80.
This is an arithmetic sequence with first term 5, common difference 5, last term 80.
Number of terms = (80 - 5)/5 + 1 = 75/5 + 1 = 15 + 1 = 16.
Probability = 16/81.
4. The number is 224,839,287.
Digits: 2, 2, 4, 8, 3, 9, 2, 8, 7 → total 9 digits.
Even digits: 2, 2, 4, 8, 2, 8 → 6 even digits.
Probability = 6/9 = 2/3.
5. Total people = 28.
Probability of choosing a man = 1/4.
So, number of men = (1/4) * 28 = 7.
Number of women = total - men = 28 - 7 = 21.
Parent Tip: Review the logic above to help your child master the concept of probability of simple events worksheet.