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

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Answer:

The answer is "0.081"

Step-by-step explanation:

Dimes [tex]= 55[/tex]

Calculating total coins [tex]= (23+55+20+19) = 117[/tex]

P(for a dime) [tex]= \frac{55}{117}[/tex]

Calculating remaining coins [tex]= 116[/tex]

Nickels [tex]= 20[/tex]

P(for nickel draw in second) [tex]= \frac{20}{116}[/tex]

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

[tex]= \frac{55}{117} \times \frac{20}{116} \\\\= \frac{1100}{13572} \\\\=0.081[/tex]

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