Question

The probability of selecting a rotten egg randomly from a basket of 1000 eggs is 0.16. What is the number of rotten eggs in the basket?

A 150 Correct Answer Incorrect Answer
B 120 Correct Answer Incorrect Answer
C 160 Correct Answer Incorrect Answer
D 140 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Total number of eggs in the basket = n(S) = 1000 Let E be the event of selecting a rotten egg from the basket. 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 eggs in the basket = 160

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