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A bag contains 7 green marbles and 5 orange marbles while a second bag contains 9 orange marbles and 8 green marbles. Ratan picks one marble from each of the two bags. Let P(Same) be the probability that the two marbles are of the same color and P(Different) be the probability that the two marbles are of different colors. Then, which of the following is true:
  • a)
    P(Same) < />
  • b)
    P(Same) > P(Different)
  • c)
    P(Same) = P(Different)
  • d)
    Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A bag contains 7 green marbles and 5 orange marbles while a second ba...
P(Same) = P(G1)P(G2) + P(O1)P(O2)
=
P(Different) = P(G1)P(O2) + P(O1)P(G2)
=
Hence P(Same) < />
Hence, the correct option is (a).
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A bag contains 7 green marbles and 5 orange marbles while a second bag contains 9 orange marbles and 8 green marbles. Ratan picks one marble from each of the two bags. Let P(Same) be the probability that the two marbles are of the same color and P(Different) be the probability that the two marbles are of different colors. Then, which of the following is true:a)P(Same) b)P(Same) > P(Different)c)P(Same) = P(Different)d)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
Question Description
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