Question

The probability of selecting a rotten apple randomly from a heap of 1050 apples is 0.36. What is the number of rotten apples in the heap?

A 350 Correct Answer Incorrect Answer
B 378 Correct Answer Incorrect Answer
C 363 Correct Answer Incorrect Answer
D 360 Correct Answer Incorrect Answer

Solution

Total number of apples in the heap = n(S) = 1050 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) 0.36 = n(E)/1050 ⇒ n(E) = 1050 × 0.36 ⇒ n(E) = 378 Therefore, the number of rotten apples in the heap = 378

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