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Question

A box contains 4 red balls , 5 green balls and 6 white  balls. A ball is drawn at random from the box . What is the probability  that the ball  drawn is either red or green ?


Options:
A .  `2/5`
B .  `3/5`
C .  `1/5`
D .  `7/15`
Answer: Option B

Total number of balls = ( 4 + 5 + 6) = 15.

`:,`      n(S) = 15.

Let   `E_1` = event of drawing a red ball

and  `E_2` = event of drawing a green ball

Then ,   `E_1 nn E_2 = phi`

` P (E_1 or E_2) =  P(E_1) + P(E_2)`

 = `(4/15 + 5/15) = 9/15 = 3/5`



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