A bag of candy contains 11 peppermints, 8 chocolates,13 gumdrops, and 9 licorices. jack randomly takes a gumdrop from the bag and eats it. what is the probability that the next candy she takes will be a gumdrop or a peppermint?
11+12/11+8+12+9=?
To find the probability that the next candy Jack takes will be a gumdrop or a peppermint, we need to calculate the number of favorable outcomes (gumdrops and peppermints) divided by the total number of possible outcomes.
First, let's calculate the number of favorable outcomes:
Number of gumdrops = 13
Number of peppermints = 11
Total number of favorable outcomes = 13 (gumdrops) + 11 (peppermints) = 24
Next, let's calculate the total number of possible outcomes:
Total number of candies = 11 (peppermints) + 8 (chocolates) + 13 (gumdrops) + 9 (licorices) = 41
Therefore, the probability of Jack taking a gumdrop or a peppermint as the next candy is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 24 / 41 ≈ 0.5854 (rounded to four decimal places)
Thus, the probability is approximately 0.5854 or 58.54%.
To find the probability that the next candy Jack takes from the bag will be a gumdrop or a peppermint, we first need to determine the total number of candies remaining in the bag after Jack ate a gumdrop.
There are initially 11 peppermints, 8 chocolates, 13 gumdrops, and 9 licorices in the bag, making a total of 41 candies. Since Jack ate a gumdrop, there are now 10 peppermints, 8 chocolates, 12 gumdrops, and 9 licorices remaining in the bag, making a total of 39 candies.
The probability of an event is defined as the number of favorable outcomes divided by the number of possible outcomes. In this case, the favorable outcomes are taking a gumdrop or a peppermint, and the possible outcomes are the total number of candies remaining in the bag.
The number of favorable outcomes is the sum of the number of gumdrops and the number of peppermints remaining in the bag after Jack ate a gumdrop. Therefore, there are 10 + 12 = 22 favorable outcomes.
The number of possible outcomes is the total number of candies remaining in the bag, which is 39.
So, the probability that the next candy Jack takes will be a gumdrop or a peppermint is 22/39 ≈ 0.5641, or approximately 56.41%.