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 dime? Enter a fraction or round your answer to 4 decimal places, if necessary. The table provided shows: Quarters (22), Dimes (30), Nickels (20), and Pennies (28).

$A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a dime? Enter a fraction or round your answer to 4 decimal places, if necessary. The table provided shows: Quarters (22), Dimes (30), Nickels (20), and Pennies (28).$

Answer

To find the probability of drawing either a quarter or a dime, follow these steps: 1. Calculate the total number of coins in the sample. Total = 22 (Quarters) + 30 (Dimes) + 20 (Nickels) + 28 (Pennies) = 100. 2. Calculate the number of favorable outcomes (selecting either a quarter or a dime). Favorable Outcomes = 22 (Quarters) + 30 (Dimes) = 52. 3. Calculate the probability. Probability = (Number of favorable outcomes) / (Total number of outcomes) = 52 / 100. 4. Simplify the fraction or convert to decimal. As a fraction, 52/100 simplifies to 13/25. As a decimal, it is 0.52. Therefore, the probability is 13/25 or 0.5200.