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Conditional Probability |
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Lesson 1 |
Problem: What is the probability of choosing O or H from letters of word ORTHOGRAPHIC?
Step 1: Probability of choosing O, P (A) = 2/12
Solution Probability of choosing H, P (B) = 2/12
Step 2:
Solution Probability of choosing O or H = P (A) + P (B) – P (A and B)
Step 3:
= 2/12 + 2/12 – 0
= 4/12
Step 4: The answer is: 1/3
Complete
Try two practice problems:
| A. | The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday? |
| B. | At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology? |
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