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In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: From a pack of cards, two cards are drawn at random. Probability that one is a diamond and other is not a king is Quantity B: Probability that a card drawn from a pack of cards is either a jack or a heart is ..

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: From a pack of cards, two cards are drawn at random. Probability that one is a diamond and other is not a king is Quantity B: Probability that a card drawn from a pack of cards is either a jack or a heart is .. Correct Answer Quantity A > Quantity B

Solving for Quantity A-

Number of ways of drawing cards = 52C2

Number of ways of drawing a diamond card = 13C1

Number of ways of for not drawing king = 48C1

So, Require probability = (13C1 × 48C1)/ 52C2 = (13 × 48) / = 47/100 = 0.47

Solving for Quantity B-

Probability of getting a heart card = 13/52 = 1/4

Probability of getting a jack = 4/52 = 1/13

Probability of getting a jack of heart = 1/52

So, Require probability = 1/4 + 1/13 - 1/52 = (13 + 4 - 1) /52 = 16/52 = 4/13 = 0.307

∴ Quantity A > Quantity B

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