Let’s solve each problem one by one. Remember:
Probability of event A = (Number of ways event A can occur) ÷ (Total number of possible outcomes)
That is:
P(A) = n(A) / n(S)
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Problem 1:
n(A) = 6, n(S) = 23
→ P(A) = 6 ÷ 23 =
6/23
Check: 6 and 23 have no common factors → already simplified.
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Problem 2:
n(A) = 9, n(S) = 46
→ P(A) = 9 ÷ 46 =
9/46
Check: 9 and 46 share no common factors → already simplified.
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Problem 3:
n(A) = 4, n(S) = 59
→ P(A) = 4 ÷ 59 =
4/59
Check: 4 and 59 — 59 is prime, so no simplification needed.
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Problem 4:
n(A) = 2, n(S) = 60
→ P(A) = 2 ÷ 60 =
2/60
Simplify: divide numerator and denominator by 2 →
1/30
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Final Answer:
1. 6/23
2. 9/46
3. 4/59
4. 1/30
Parent Tip: Review the logic above to help your child master the concept of probability of simple events worksheet.