Question

The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?

A 162 Correct Answer Incorrect Answer
B 160 Correct Answer Incorrect Answer
C 165 Correct Answer Incorrect Answer
D 168 Correct Answer Incorrect Answer

Solution

Total number of apples in the heap = n(S) = 900
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)
0.18 = n(E)/900
⇒ n(E) = 900 × 0.18
⇒ n(E) = 162
Therefore, the number of rotten apples in the heap = 162

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