Question

There are five nickels and eight dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. What is the probability that the first coin is a nickel and the second coin is a dime?

Answer 1

hello

the total numbers of coin in the pockets are

`5+8=13`

the probablility of the first coin to be a nickel is

`(5)/(13)`

the probability of the second coin is a dime is

`(8)/(12)=(2)/(3)`

the probability that the first coin is a nickel and the second coin a dime is

`(5)/(13)*(2)/(3)=(10)/(39)`

from the calculations above, the probability that the first coin is a nickel and the second coin is a dime is 10/39