8. A bag contains 8 red discs and x blue discs. The odds against drawing a blue disc are
2:5. What is the value of x?
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Answer:
Total number of discs = x+8
Let A be the event of drawing a blue disc.
Since odd against drawing a blue disc is 2:5. ie 2/5.
P(A') = 2/5 => 1-p(A) =2/5. => P(A) = 1– 2/5 = 3/5.
But P(A) = x/(x+8)= 3/5 => x/(x+8) = 3/5
=> 5x = 3x+ 24 => 2x= 24 => x = 24/2 = 12
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