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There are 3 boxes with the following composition: Box I:7 Red +5 White +4 Blue balls : Box II 5 Red +6 White + 3 Blue balls : Box III: 4 Red 3 White +2 Blue balls` One of the boxes is selected at random and a ball is drawn from it. What is the probability that the drawn ball is red? |
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Answer» All the three boxes are equally probable with a probability of `1/3` Probability(red ball)=(probability of each box x probability of red ball in that box) sum of all three of the boxes. Probability(red ball)=`1/3 xx 7/16+ 1/3 xx5/14+1/3xx4/9` =>Answer`1/3xx1/1008(441+360+448)=0.413` |
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