Question

Piggybank contains $100$ fifty-paise coins, $50$ one-rupee coins, $20$ two-rupees coins and $10$ five- rupees coins. One coin is drawn at random. Find the probability that the drawn coin (i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

• A. (i) $\frac{4}{9}$ (ii) $\frac{17}{18}$
• B. (i) $\frac{5}{9}$ (ii) $\frac{17}{18}$
• C. (i) $\frac{5}{9}$ (ii) $\frac{14}{18}$
• D. None of these

Answer 1

Answer: (B)

(i) $\frac{5}{9}$ (ii) $\frac{17}{18}$

No. of fifty-paise coins $=100$

No. of one-rupees coins $=50$

No. of two-rupees coins $=20$

No. of five-rupees coins $=10$

One coin is drawn at random

Probability that will be the fifty-paise coin

= No. of fifty-paise coins divided by Total no. of coins

$=\frac{100}{180}=\frac{5}{9}$

The probability that will not be five-rupees coin $=\frac{(100+50+20)}{180}=\frac{17}{18}$