Question

1-91. marissa is drawing coins from a bag that contains 5 pennies, 4 nickels, 5 dimes, and 2 quarters. test your ideas by creating a bag of coins. homework help a. what is the probability that she will draw a nickel? write your answer as a fraction, as a decimal, and as a percent. b. if one penny, two dimes, and one quarter are added to the bag, what is the new probability that marissa will draw a nickel? write your answer as a fraction, as a decimal, and as a percent. c. is it more likely that marissa will draw a nickel in part a or part b?

Explanation:

Step1: Calculate total number of coins in part a

The bag has 5 pennies, 4 nickels, 5 dimes and 2 quarters. So the total number of coins is $5 + 4+5 + 2=16$.

Step2: Calculate probability of drawing a nickel in part a

The number of nickels is 4. The probability $P$ of drawing a nickel is the number of nickels divided by the total number of coins. So $P=\frac{4}{16}=\frac{1}{4}=0.25 = 25\%$.

Step3: Calculate total number of coins in part b

One penny, two dimes and one quarter are added. So the new - total number of coins is $16+1 + 2+1=20$.

Step4: Calculate probability of drawing a nickel in part b

The number of nickels is still 4. The new probability $P$ of drawing a nickel is $\frac{4}{20}=\frac{1}{5}=0.2 = 20\%$.

Step5: Compare probabilities

Since $0.25>0.2$, it is more likely to draw a nickel in part a.

Answer:

a. $\frac{1}{4}$, $0.25$, $25\%$
b. $\frac{1}{5}$, $0.2$, $20\%$
c. Part a