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Question

The probability of selecting a rotten apple randomly from a heap of 250 apples is 0.20. What is the number of rotten apples in the heap?

A 50 Correct Answer Incorrect Answer
B 75 Correct Answer Incorrect Answer
C 63 Correct Answer Incorrect Answer
D 60 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Total number of apples in the heap = n(S) = 250
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)
0.20 = n(E)/250
⇒ n(E) = 250 × 0.20
⇒ n(E) = 50
Therefore, the number of rotten apples in the heap = 50

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