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

`P=0.727`

Explanation:

The total coins in your pocket are 11, the probability of a nickel coming out from a random selection is
`(4)/(11)`, and the probability of taking out a dime is
`(7)/(11)`. In the case of the Canadian currency, you have two Canadian coins of eleven, the probability is
`(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=(7)/(11)+(2)/(11)-(1)/(11)=(8)/(11)=0.727`