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A coin jar contains 12 quarters, 15 dimes, and 23 nickels. Find the probability that a Karen will choose a quarter from the jar and then Mikah will choose a nickel from the jar.

Write the probability as a fraction in simplest form.

Respuesta :

rvkacademic

Answer:

138/1225

Step-by-step explanation:

There are a total of 12 quarters + 15 dimes + 23 nickels
= 50 coins

There are 12 quarters

So probability of choosing a quarter
= number of quarters/total number of coins

= 12/50

Once Karen has chosen a quarter from the jar that leaves us with 49 coins total and 11 quarters

The number of nickels in the jar is still the same as before = 23

So P(nickel on the second draw by Mikah given first draw is quarter) = 23/49

The probability of both events i.e. Karen chooses a quarter and then
MIkah  chooses a nickel is the product of these probabilities

= 12/50 * 23/49

= 6/25 * 23/49

= 138/1225

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