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Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.
Quantity I: A bag contains 7 red, 4 black, 4 yellow, and 5 pink pens. If 4 pens are drawn at random, find the probability that 2 pens are red and 2 pens are black.
Quantity II: Find the probability such that 2 jacks are drawn when 5 cards are drawn at random from a pack of 52 cards.
  • a)
    Quantity I ≤ Quantity II
  • b)
    Quantity I ≥ Quantity II
  • c)
    Quantity I ˃ Quantity II
  • d)
    Quantity I ˂ Quantity II
  • e)
    Quantity I = Quantity II
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Given below are two quantities named I and II. Based on t...
Quantity I
Total number of outcomes = 20C4
= 20 ! / (4! × 16 !)
= (20 × 19 × 18 × 17 × 16!) / (4 × 3 × 2 × 1 × 16!)
= 4845
Number of favourable outcomes = 7C2 × 4C2
= 126
⇒ Required probability = 126 / 4845
⇒ 0.02600 (approx)
Quantity II:
Total number of possible ways to drawn a card = 52C5
= 52! / (5! × 47!)
= (52 × 51 × 50 × 49 × 48 × 47!) / (5 × 4 × 3 × 2 × 1 × 47!)
= 2598960
Number of sets of 5 with 2 are jack = 4C2 × 48C3
= 6 × (48 × 47 × 46 × 45!) / (3! × 45!) = 103776 ⇒ P (E) = 103776 / 2598960
= 0.03992 (approx)
∴ Quantity I ˂ Quantity II
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Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: A bag contains 7 red, 4 black, 4 yellow, and 5 pink pens. If 4 pens are drawn at random, find the probability that 2 pens are red and 2 pens are black.Quantity II: Find the probability such that 2 jacks are drawn when 5 cards are drawn at random from a pack of 52 cards.a)Quantity I ≤ Quantity IIb)Quantity I ≥ Quantity IIc)Quantity I ˃ Quantity IId)Quantity I ˂ Quantity IIe)Quantity I = Quantity IICorrect answer is option 'D'. Can you explain this answer?
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Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: A bag contains 7 red, 4 black, 4 yellow, and 5 pink pens. If 4 pens are drawn at random, find the probability that 2 pens are red and 2 pens are black.Quantity II: Find the probability such that 2 jacks are drawn when 5 cards are drawn at random from a pack of 52 cards.a)Quantity I ≤ Quantity IIb)Quantity I ≥ Quantity IIc)Quantity I ˃ Quantity IId)Quantity I ˂ Quantity IIe)Quantity I = Quantity IICorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: A bag contains 7 red, 4 black, 4 yellow, and 5 pink pens. If 4 pens are drawn at random, find the probability that 2 pens are red and 2 pens are black.Quantity II: Find the probability such that 2 jacks are drawn when 5 cards are drawn at random from a pack of 52 cards.a)Quantity I ≤ Quantity IIb)Quantity I ≥ Quantity IIc)Quantity I ˃ Quantity IId)Quantity I ˂ Quantity IIe)Quantity I = Quantity IICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: A bag contains 7 red, 4 black, 4 yellow, and 5 pink pens. If 4 pens are drawn at random, find the probability that 2 pens are red and 2 pens are black.Quantity II: Find the probability such that 2 jacks are drawn when 5 cards are drawn at random from a pack of 52 cards.a)Quantity I ≤ Quantity IIb)Quantity I ≥ Quantity IIc)Quantity I ˃ Quantity IId)Quantity I ˂ Quantity IIe)Quantity I = Quantity IICorrect answer is option 'D'. Can you explain this answer?.
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