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AP EAMCET · Maths · Probability

A bag contains 5 blue and an unknown number x of red balls. Two balls are drawn at random. If the probability of both of them being blue is 514, then the value of x is equal to

  1. A 8
  2. B 5
  3. C 3
  4. D 6
Verified Solution

Answer & Solution

Correct Answer

(C) 3

Step-by-step Solution

Detailed explanation

P=5C25+xC2=514 ⇒10×2(5+x)(4+x)=514 ⇒x2+20+9x=14×4 ⇒x2+9x-36=0 ⇒x=3, -12