Question

A bag contains 10 pieces of flavored candy 4 lemon 3 strawberrys 2 grape and 1 cherry one piece of candy will be randomly picked from the bag what is the probability the candy picked is not grape flavored

Answer 1

To find the probability that a randomly picked candy is not grape flavored, we will follow these steps:

1. Count the total number of pieces of candy in the bag. This is the sum of all the different flavors of candy:
- 4 lemon candies
- 3 strawberry candies
- 2 grape candies
- 1 cherry candy
The total number is 4 + 3 + 2 + 1 = 10 candies.

2. Count the number of candies that are not grape flavored. Since there are 2 grape candies, the number of candies not grape flavored is the total minus the grape candies:
10 (total candies) - 2 (grape candies) = 8 candies that are not grape flavored.

3. Calculate the probability of picking a non-grape flavored candy. Probability is the number of favorable outcomes divided by the total number of possible outcomes. In our case, the favorable outcomes are the instances where we pick a non-grape flavored candy, and the total possible outcomes are picking any candy from the bag:
Probability (not grape flavored) = Number of non-grape flavored candies / Total number of candies
Probability (not grape flavored) = 8 / 10

4. Simplify the fraction, if needed. In this case, the fraction 8/10 can be simplified to 4/5 by dividing both the numerator and denominator by the greatest common divisor, which is 2.

Therefore, the probability of picking a candy that is not grape flavored from the bag is 4/5, or 80% if expressed as a percentage.

Answer 2

The probability that the candy picked is not grape flavored would be 4/5

Explanation:

We are given that a bag contains 10 pieces of flavored candy. 4 lemon, 3 strawberry, 2 grape and 1 cherry. The probability that the candy picked is not grape flavored is calculated as;

(number of candy that are not grape flavored)/ ( total number of candy in the bag)

= (4+3+1)/(10)

= 8/10

=4/5

Therefore, the probability that the candy picked is not grape flavored would be 4/5