In your coin purse, you have 3 quarters, 4 nickels, & 2 dimes. If you pick a coin at random, what is the probability that it will be a quarter?

In this problem, we're told that in our coin purse we have 3 quarters, 4 nickels, and 2 dimes, and we want to know that if we pick a coin at random, what is the probability that it will be a quarter? So let's go ahead and get started here. Now here we're looking at the probability of drawing a quarter out of our coin purse. So the first thing we need to do is determine how many outcomes include our event, which is going to be drawing a quarter. Now there are only 3 quarters, so that represents the 3 possible times that I could draw a quarter. Now we want to divide this by the total number of objects we have so we're going to take our 3 and add it to our 4 and our 2. So in my denominator here I have 3++2 which this ends up giving me 3 over 9. Now if I divide this, this is just 1 third or rounded to the nearest 100th place. This is 0.33. So there is a 33% chance or probability of 0 point 3 3 that I will draw a quarter out of my coin purse, and that is my final answer. Thanks for watching, and I'll see you in the next one.