Question

The probability of selecting a rotten egg randomly from a basket of 1200 eggs is 0.22. What is the number of rotten eggs in the basket?

A 254 Correct Answer Incorrect Answer
B 234 Correct Answer Incorrect Answer
C 250 Correct Answer Incorrect Answer
D 264 Correct Answer Incorrect Answer

Solution

Total number of eggs in the basket = n(S) = 1200 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) 0.22 = n(E)/1200 ⇒ n(E) = 1200 × 0.22 ⇒ n(E) = 264 Therefore, the number of rotten eggs in the basket = 264

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