Question
The probability of selecting a rotten apple
randomly from a heap of 1000 apples is 0.16. What is the number of rotten apples in the heap?Solution
Total number of apples in the heap = n(S) = 1000
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)
0.16 = n(E)/1000
⇒ n(E) = 1000 × 0.16
⇒ n(E) = 160
Therefore, the number of rotten apples in the heap = 84
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