Question

There are four nickels and seven dimes in your pocket. One of the nickels and one of the dimes are Canadian. The others are US currency. You randomly select a coin from your pocket. It is a dime or is Canadian currency. Find the probability of this occurring.'

Answer 1

Answer:

$P=0.727$

Step-by-step explanation:

The total coins in your pocket are 11, the probability of a nickel coming out from a random selection is $\frac{4}{11}$, and the probability of taking out a dime is $\frac{7}{11}$. In the case of the Canadian currency, you have two Canadian coins of eleven, the probability is $\frac{2}{11}$. The probability of select a dime or a Canadian coin is the sum of the probability of each event less the probability of  selecting the coin that is a dime and a Canadian coin:

$P=\frac{7}{11}+\frac{2}{11}-\frac{1}{11}=\frac{8}{11}=0.727$