31. A bag contains 31 balls out of which x are red. A ball is drawn at random from the bag.
Find the probability that it is
i red ii. not red.
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Answer:
bag contains =18 balls
no. of red balls =x
Probability of red ball =total no of ballFavourable ball
(i) P[red ball]=18x
(ii) If two more red ball add
no. of red ball =x+2
total no. of balls =18+2=20
Probability of druuing red ball =89 Probability of red ball coming in part (i)
∴ 20x+2=89×18x
∴ 20x+2=16x
∴ 16(x+2)=20 x
∴ 16 x+32=20 x
∴ 20 x−16 x=32
∴ 4 x=32
∴ x=8
→ the value of x=8
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