grace has a bag of candy. there are 15 grape-flavored candies and 10 lemon- flavored candies in the bag. she picks a candy at random.

what is the probability that the candy she picks will be grape flavored?

1 answer

To find the probability that Grace picks a grape-flavored candy, you can use the formula for probability:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case:

  • The number of grape-flavored candies (favorable outcomes) is 15.
  • The total number of candies is the sum of grape-flavored and lemon-flavored candies: \(15 + 10 = 25\).

Now, substitute these values into the probability formula:

\[ \text{Probability of picking a grape-flavored candy} = \frac{15}{25} \]

Now, simplify the fraction:

\[ \frac{15}{25} = \frac{3}{5} \]

So, the probability that the candy she picks will be grape-flavored is \(\frac{3}{5}\).