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There Are Two Urns. One Contains Two White Balls and Four Red Balls, the Other Contains Three White and Nine Red Balls. - Mathematics

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MCQ

Choose the most appropriate option.

There are two urns. One contains two white balls and four red balls, the other contains three white and nine red balls. All balls are of the same shape and size. From each urn, one ball is drawn. What is the probability of getting both the balls of the same colour?

Options

  • `1/12`

  • `7/12`

  • `1/2`

  • `1/24`

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Solution

`7/12`

Explanation:

Here,

In first Urn:

White ball = 2
Red balls = 4

∴ Total balls in first urn = 2 + 4 = 6 balls

In second Urn :

White balls = 3
Red balls = 9

∴ Total balls in second urn = 3 + 9 = 12 balls

∴ Required probability = `2/6 xx 3/12 + 4/6 xx 9/12 = 7/12`

Concept: Probability (Entrance Exam)
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