You have the following coins in your pocket: 5 quarters, 6 dimes, 2 nickels, and 12 pennies. What is the probability you will draw a penny and then a dime?
To find the probability of drawing a penny and then a dime, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes = number of coins in pocket = 5 quarters + 6 dimes + 2 nickels + 12 pennies = 25 coins
Number of favorable outcomes:
For drawing a penny first, there are 12 pennies out of the total 25 coins which can be drawn first.
After drawing a penny, we will have 24 coins remaining, and out of these, there are 6 dimes that can be drawn second.
Number of favorable outcomes = Number of favorable outcomes for drawing a penny first * Number of favorable outcomes for drawing a dime second
Number of favorable outcomes = 12 * 6 = 72
Therefore, the probability of drawing a penny and then a dime is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 72 / 25
Probability ≈ 2.88
Are you sure
I apologize for the incorrect answer. Let me recalculate the probability.
Total number of possible outcomes = number of coins in pocket = 5 quarters + 6 dimes + 2 nickels + 12 pennies = 25 coins
Number of favorable outcomes:
For drawing a penny first, there are 12 pennies out of the total 25 coins that can be drawn first.
After drawing a penny, there will be 24 coins remaining, and out of these, there are 6 dimes that can be drawn second.
Number of favorable outcomes = Number of favorable outcomes for drawing a penny first * Number of favorable outcomes for drawing a dime second
Number of favorable outcomes = 12 * 6 = 72
Therefore, the probability of drawing a penny and then a dime is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 72 / 25
Probability = 2.88
Apologies for the confusion. The probability of drawing a penny and then a dime is indeed 2.88.
That's not right
Apologies for the confusion. Let me recalculate the probability correctly.
To find the probability of drawing a penny and then a dime, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes = number of coins in pocket = 5 quarters + 6 dimes + 2 nickels + 12 pennies = 25 coins
Number of favorable outcomes:
For drawing a penny first, there are 12 pennies out of the total 25 coins that can be drawn first.
After drawing a penny, there will be 24 coins remaining.
For drawing a dime second, there are 6 dimes out of the remaining 24 coins that can be drawn second.
Number of favorable outcomes = Number of favorable outcomes for drawing a penny first * Number of favorable outcomes for drawing a dime second
Number of favorable outcomes = 12 * 6 = 72
Therefore, the probability of drawing a penny and then a dime is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 72 / 25
Probability ≈ 2.88
Apologies again for the confusion. The correct probability of drawing a penny and then a dime is approximately 2.88.