Question

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 2323 Pennies 55 Dimes 2020 Nickels 1919 Quarters Copy Data What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a nickel

Answer 1

The answer is "0.081"

Explanation:

Dimes
`= 55`

Calculating total coins
`= (23+55+20+19) = 117`

P(for a dime)
`= (55)/(117)`

Calculating remaining coins
`= 116`

Nickels
`= 20`

P(for nickel draw in second)
`= (20)/(116)`

P(for a dime after that a nickel, without replacement)

`= (55)/(117) * (20)/(116) \\\\= (1100)/(13572) \\\\=0.081`