Three quantities are given: Quantity I: Probability that at most two students (A, B, and C) solve a question, given probabilities of not answering are...

Question

Three quantities are given:

Quantity I: Probability that at most two students (A, B, and C) solve a question, given probabilities of not answering are 0.5, 0.4, and 0.7 respectively.

Quantity II: Probability of drawing at least one green ball when 3 balls are drawn randomly from a bag containing 5 green and 7 red balls.

Quantity III: Probability that Arun (truth-telling probability 45\frac{4}{5}) and Bhavya (truth-telling probability 67\frac{6}{7}) contradict each other when stating the same fact.

Find the values of these quantities and compare them.

Options

A.

Quantity I > Quantity II > Quantity III

B.

Quantity II > Quantity I > Quantity III

C.

Quantity III > Quantity I > Quantity II

D.

Quantity II > Quantity III > Quantity I

probabilityat mostat leastcontradictiontruth-telling

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