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?

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hello

the total numbers of coin in the pockets are

[tex]5+8=13[/tex]

the probablility of the first coin to be a nickel is

[tex]\frac{5}{13}[/tex]

the probability of the second coin is a dime is

[tex]\frac{8}{12}=\frac{2}{3}[/tex]

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

[tex]\frac{5}{13}\times\frac{2}{3}=\frac{10}{39}[/tex]

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