If probability of drawing 1 ball such that it is not green is 4 5 then sum of the number of red and ...........

Quantitative Aptitude (SBI-PO) Probability

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There were some red, some green and some white balls in a bag. Probability of drawing 1 white ball from the bag is 1/3 . If there were 6 more red balls in the bag, the probability of getting 1 green ball would have been1/30 less

If probability of drawing 1 ball such that it is not green is 4/5 , then sum of the number of red and white balls is

None of these

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Explanation:

Let the total number of balls in the bag = (3 × 5)x = 15x, then
Number of white balls = 15x ×1/3 = 5x and sum of the number of white and red balls = 15x ×4/5 = 12x, then
Number of red balls = 12x – 5x = 7x and number of green balls = 15x – 12x = 3x
Also,

⇒ x = 2
So, number of red balls = 7x = 14 and number of white balls = 5x = 10
Hence, the required number of balls = 14 + 10 = 24.