Question 1193586: The number of male and female students in section A whose favorite milk tea flavor is either chocolate or cookies and cream is shown below:
Chocolate:
Male: 8
Female: 12
Total: 20
Cookies and Cream:
Male: 10
Female: 10
Total: 20
*
Total of all male: 18
Total of all female: 22
Total of all students: 40
Questions:
1. What is the probability that a student is a male whose favorite flavor is chocolate or a female student whose favorite flavor is cookies and cream? Show the solution.
2. Find the probability that you choose a student who is male and his favorite flavor is cookies and cream then choose another student who is female and her favorite flavor is chocolate. Show the solution.
Answer by yurtman(42)   (Show Source):
You can put this solution on YOUR website! **1. Probability of a male student with favorite flavor chocolate or a female student with favorite flavor cookies and cream:**
* **Find the probability of each event:**
* Probability of a male student with favorite flavor chocolate: 8 males / 40 total students = 2/10 = 1/5
* Probability of a female student with favorite flavor cookies and cream: 10 females / 40 total students = 1/4
* **Since these events are mutually exclusive (a student cannot be both male and female), we add the probabilities:**
* 1/5 + 1/4 = 4/20 + 5/20 = 9/20
* **Therefore, the probability is 9/20.**
**2. Probability of choosing a male student with favorite flavor cookies and cream then a female student with favorite flavor chocolate:**
* **Probability of choosing a male student with favorite flavor cookies and cream:** 10 males / 40 total students = 1/4
* **After the first selection, there are 39 students remaining.**
* **Probability of choosing a female student with favorite flavor chocolate (after the first selection):** 12 females / 39 remaining students = 4/13
* **To find the probability of both events happening, multiply the probabilities:**
* 1/4 * 4/13 = 1/13
* **Therefore, the probability is 1/13.**
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