Question

Find the Fraction of the Coins
The ratio of the number of gold coins, silver coins and bronze coins with a coin collector is 33 : 17 : 21. What fraction of the coins are either silver or bronze? A. 16/53 B. 17/54 C. 38/71 D. 25/31 E. 38/33

Answer 1

the answer is option C i.e. 38/71
the fraction for silver and bronze coins will be-- 
17 + 21 divided by 33 + 17+ 21 = 38 / 71 

Answer 2

Fraction of coins which are either bronze or silver is $\bold{\frac{38}{71}}$

OPTION C

Solution:

Ratio of number of coins of gold, silver and bronze = 33 : 17: 21

Total number of coins that can be used as sample space = 33 + 17 + 21 = 71

Possibility of coin drawn is either silver or bronze can be found out by the total number of coin for both silver and bronze 17 + 21 = 38

Probability to withdraw either silver or bronze = $\bold{\frac{\text {Possibility of coin drawn is either silver or bronze}}{\text {Total number of coins}}}$ = $\bold{\frac{38}{71}}$