Question
The probability of selecting a rotten apple
randomly from a heap of 500 apples is 0.15. What is the number of rotten apples in the heap?Solution
Total number of apples in the heap = n(S) = 500
Let E be the event of selecting a rotten apple 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 apples in the heap = 75
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