Question
The probability of selecting a rotten egg randomly from
a heap of 500 eggs is 0.15. What is the number of rotten eggs in the heap?Solution
Total number of eggs in the heap = n(S) = 500 Let E be the event of selecting a rotten egg from the heap. Number of outcomes favourable to E = n(E) P(E) = n(E)/n(S) 0.15 = n(E)/500 ⇒ n(E) = 500 × 0.15 ⇒ n(E) = 75 Therefore, the number of rotten eggs in the heap = 75
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