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A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a penny

User Luke Irvin
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1 Answer

6 votes

Missing Details

Quarters ≡ Dimes ≡ Nickels ≡ Pennies

23 ≡ 29 ≡ 17 ≡ 38

Answer:


P(Q\ or\ P) = 0.5701

Explanation:

Given


Quarters = 23


Dimes = 29


Nickels = 17


Pennies = 38

First, we calculate total number of coins


Total = 23 + 29 + 17 + 38


Total = 107

The probability of obtaining quarter (Q) of penny (P) is:


P(Q\ or\ P) = P(Quarters) + P(Pennies)


P(Q\ or\ P) = (n(Quarters))/(Total) + (n(Pennies))/(Total)

Take LCM


P(Q\ or\ P) = (n(Quarters) + n(Pennies))/(Total)


P(Q\ or\ P) = (23 + 38)/(107)


P(Q\ or\ P) = (61)/(107)


P(Q\ or\ P) = 0.5701

User Snedecor
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