A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls...

JAMB 2005

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls

A. \(\frac{17}{50}\)
B. \(\frac{3}{25}\)
C. \(\frac{1}{50}\)
D. \(\frac{3}{250}\)

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Correct Answer: Option A

Explanation

Blue balls = 5
Red balls = 3
White balls = 2
Total = 10
P(Two blue) = 5/10 * 5/10 = 25/100
P(Two Red) = 3/10 * 3/10 = 9/100
∴P(Two blue or two red balls)
= 25/100 + 9/100
= 34/100
= 17/50

There is an explanation video available below.

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