2. aaron has 100 coins in his collection. of these coins, 60 are nickels, 24 are pennies, and 16 are…

2. aaron has 100 coins in his collection. of these coins, 60 are nickels, 24 are pennies, and 16 are quarters. half of the nickels have a buffalo on them. half of the quarters have a state on them. based on this information, which statement is true? select two correct answers. the probability of selecting a coin that is not a nickel is 60%. the probability of randomly drawing a state quarter is 8%. the probability of selecting a penny is 3 times the probability of selecting a state quarter. the probability of randomly selecting a buffalo nickel is 6 times the probability of selecting a penny.

2. aaron has 100 coins in his collection. of these coins, 60 are nickels, 24 are pennies, and 16 are quarters. half of the nickels have a buffalo on them. half of the quarters have a state on them. based on this information, which statement is true? select two correct answers. the probability of selecting a coin that is not a nickel is 60%. the probability of randomly drawing a state quarter is 8%. the probability of selecting a penny is 3 times the probability of selecting a state quarter. the probability of randomly selecting a buffalo nickel is 6 times the probability of selecting a penny.

Answer

Explanation:

Step1: Calculate total number of coins

Total coins = 100

Step2: Calculate probability of non - nickel coins

Number of non - nickel coins = 24 (pennies)+16 (quarters)=40. Probability of non - nickel coins = $\frac{40}{100}=0.4 = 40%$

Step3: Calculate number of state quarters

Half of 16 quarters have a state on them, so number of state quarters = $\frac{16}{2}=8$. Probability of state quarters = $\frac{8}{100}=0.08 = 8%$

Step4: Calculate probability of pennies and state quarters

Probability of pennies = $\frac{24}{100}=0.24$. Probability of state quarters = 0.08. $0.24\div0.08 = 3$, so the probability of selecting a penny is 3 times the probability of selecting a state quarter.

Step5: Calculate number of buffalo nickels

Half of 60 nickels have a buffalo on them, so number of buffalo nickels = $\frac{60}{2}=30$. Probability of buffalo nickels = $\frac{30}{100}=0.3$. Probability of pennies = 0.24. $0.3\div0.24 = 1.25$, so the probability of a buffalo nickel is not 6 times the probability of a penny.

Answer:

The probability of randomly drawing a state quarter is 8%. The probability of selecting a penny is 3 times the probability of selecting a state quarter.