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Question

In each of the following questions, read the given statements and compare the two given quantities on it basis. Give answer:

A bag contains 4 yellow, 5 black and 7 white flowers. Three flowers are drawn randomly.

Quantity I: What is the probability that all three flowers are of white colour?

Quantity II: What is the probability that all three flowers are of different colour?

A Quantity I > Quantity II Correct Answer Incorrect Answer
B Quantity I < Quantity II Correct Answer Incorrect Answer
C Quantity I ≥ Quantity II Correct Answer Incorrect Answer
D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
E Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer

Solution

Quantity I: n(s) = ¹⁶C₃ = (16× 15× 14)/(3× 2× 1) = 560 n(E) = ⁷C₃ = (7× 6× 5)/(3× 2× 1) = 35 P(E) = 35/560 = 35/560 = 1/16 Quantity II. n(s) = ¹⁶C₃ = (16× 15× 14)/(3× 2× 1) = 560 n(E) = ⁴C₁× ⁵C₁× ⁷C₁ P(E) = 140/560 = 1/4 Hence, Quantity I < Quantity II

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