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प्रश्न
A box contains 5 red marbels, 8 white marbles and 4 green marbles, One marble is taken out of the box at ramdom. What is the probability that the marble taken out will be not green?
उत्तर
A box contains 5 red, 4 green and 8 white marbles and a marble is drawn at random.
TO FIND: Probability of getting a marble not green
Total number of marble: `5+4+8=17`
Total number of green marbles is 4
We know that PROBABILITY =`" Number of favourable event"/"Total number of event"`
Hence probability of getting green marbles `
p(overlineE)=4/17`
We know that sum of probability of occurrence of an event and probability of non occurrence of an event is 1.
`P(overlineE)+P(overlineE)=1`
`4/17+P(overlineE)=1`
` P(E)=1-4/17`
` P(E)=(17-4)/27=13/17`
Hence the probability of getting green marbles is `P(overlineE)=13/17`
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