The probability of her passing the first test is 0.8. What is the probability of her passing the second test given that she has passed the first test? A bag contains red and blue marbles. Two marbles are drawn without replacement. The probability of selecting a red marble and then a blue marble is 0.28.
The probability that a student takes Computer Programming is 0.4. What is the probability that a student takes Spanish given that the student is taking Computer Programming? Here are the results of a survey completed with adult parents with children.
Two marbles are drawn without replacement. The probability of selecting a red marble and then a blue marble is 0.28. The probability of selecting a red marble on the first draw is 0.5.
The probability of an event occurring given that another event has already occurred is called a conditional probability. Recall that when two events, A and B, are dependent, the probability of both occurring is: P (A and B) = P (A) × P (B given A) or P (A and B) = P (A) × P (B | A)
Example: A bag contains red and blue marbles. Two marbles are drawn without replacement. The probability of selecting a red marble and then a blue marble is 0.28. The probability of selecting a red marble on the first draw is 0.5.
Step 1: Write out the Conditional Probability Formula in terms of the problem. Step 2: Substitute in the values and solve. Example: Susan took two tests. The probability of her passing both tests is 0.6. The probability of her passing the first test is 0.8.