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A bag contains 8 marbles of which 3 are blue and 5 are red. One marble is drawn at random, its colour is noted and the marble is replaced in the bag. A marble is again drawn from the bag and its colour is noted. Find the probability that he marble will be (i)blue followed by red, (ii)blue and red in any order (iiI)of the same colour

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(i) `P` = shows blue followed by red

`=frac{3}{8} times frac{5}{8} `

`=frac{15}{64}`

(ii) P (red and blue in any order )=P ( blue followed by red )+P( red followed by blue )

`=frac{3}{8} times frac{5}{8}+frac{5}{8} times frac{3}{8} `

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