Answer:
Explanation:
To determine the probability of choosing two caramels candies without replacement, we need to know the total number of candies and the number of caramels.
Let's say we have a bag with 10 candies, and 4 of them are caramels. The probability of choosing a caramel on the first draw is 4/10, or 2/5.
Now, let's assume that we don't replace the first candy back into the bag. This means that there are now only 9 candies left in the bag, with only 3 caramels left. So, the probability of choosing a second caramel is 3/9, or 1/3.
To find the probability of both events happening, we need to multiply the probabilities:
P(both caramels) = P(first caramel) x P(second caramel after first caramel was not replaced)
P(both caramels) = (4/10) x (3/9)
P(both caramels) = 12/90
P(both caramels) = 2/15
Therefore, the probability of choosing two caramels candies without replacement from a bag of 10 candies with 4 caramels is 2/15.