Two boys are playing a game in which they… | Answer

Subject

Quantitative Aptitude

Topic

Probability

Two boys are playing a game in which they have to pick balls out of a bag. The bag contains 4 red, 3 green, 2 blue and 5 black balls. If one of the boy draws four balls at random, what is the probability that two are red and two are blue?
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ক)

6/1001

খ)

2/1000

গ)

6/1500

ঘ)

6/1058

ঙ)

None of These

Explanation

Since there are 4 red, 3 green, 2 blue and 5 black balls in the bag, there are a total of 14 balls in the bag. 4 balls are drawn at random; therefore exhaustive number of cases = 14 C 4 Total cases are = 14 C 4 = (14 × 13 × 12 × 11)/(1 × 2 × 3 × 4) = 1001 Now we need to find the case where two are red and two are blue = 4 C 2 × 2 C 2 = 6 × 1 = 6 Therefore the required probability = 6/1001

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Two boys are playing a game in which they have to pick balls out of a bag. The bag contains 4 red, 3 green, 2 blue and 5 black balls. If one of the boy draws four balls at random, what is the probability that two are red and two are blue?Reading

Two boys are playing a game in which they have to pick balls out of a bag. The bag contains 4 red, 3 green, 2 blue and 5 black balls. If one of the boy draws four balls at random, what is the probability that two are red and two are blue?

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Two boys are playing a game in which they have to pick balls out of a bag. The bag contains 4 red, 3 green, 2 blue and 5 black balls. If one of the boy draws four balls at random, what is the probability that two are red and two are blue?
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