Question
The probability of selecting a rotten apple randomly
from a heap of 1200 apples is 0.22. What is the number of rotten apples in the heap?Solution
Total number of apples in the heap = n(S) = 1200 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) 0.22 = n(E)/1200 ⇒ n(E) = 1200 × 0.22 ⇒ n(E) = 264 Therefore, the number of rotten apples in the heap = 264
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