danielle has 3 dimes, 2 quarters, and 5 nickles in her pocket. what is the probability that she chooses a dime followed by a quarter? is 3/5 the correct answer?
p of dime = 3/10
now we have 9, not 10 coins left
p of quarter = 2/9
so3/10 * 2/9 =1/15
ok thank u!
To find the probability of Danielle choosing a dime followed by a quarter, we need to divide the number of favorable outcomes by the total number of possible outcomes.
There are a total of 10 coins in Danielle's pocket (3 dimes + 2 quarters + 5 nickels).
To calculate the probability, we need to consider the two steps separately:
Step 1: Choosing a dime
In this step, there are 3 possible outcomes (3 dimes) out of a total of 10 coins.
Step 2: Choosing a quarter
After successfully selecting a dime in the first step, there are 2 possible outcomes (2 quarters) left out of 9 coins.
To find the probability of both steps occurring, we multiply the probabilities of each step.
So, the probability of Danielle choosing a dime followed by a quarter is (3/10) * (2/9) = 6/90 = 1/15.
Therefore, the correct answer is 1/15, not 3/5.