1.

A abg contains 5 red and blue balls. If 3 balls are drawn at random without replacement, them the probability of getting exactly one red ball isA. `45/196`B. `135/392`C. `15/56`D. `15/29`

Answer» Probability of getting one red (R ) ball=`P_(R)cdotP_(barR)cdotP_(barR)+P_(barR)cdotP_(R)cdotP_(barR)+P_(barR)cdotP_(baR)cdotP_(R)`
`=5/8cdot3/72/6+3/8cdot5/7cdot2/6+3/8cdot5/7cdot2/6+3/8cdot2/7cdot5/6`
`15/(4cdot7cdot6)+15/(4cdot7cdot6)+15/(4cdot7cdot6)`
`=4/56+5/56+5/56=15/56`


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