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A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, find the number of blue balls in the bag. |
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Answer» Number of red balls in a bag = 5 Suppose the number of blue balls in the bag = x `" "|ul({:(R,B),(5,x):})|` `therefore" Total number of balls in the beg"=5+x` `therefore" P(red ball)"=(5)/(5+x)` `P"(blue ball)"=(x)/(5+x)` Now, P(blue ball) = 2 P(red ball) (given) `rArr" "(x)/(5+x)=2xx(5)/(5+x)` `rArr" "x=10` Therefore, the number of blue balls in the bag are 10. |
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