Solve Probability Problems

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The notation for conditional probability is P(B|A), read as the probability of B given A.

The formula for conditional probability is: The Venn Diagram below illustrates P(A), P(B), and P(A and B). Feedback to your answer is provided in the RESULTS BOX. Answer choices have been rounded to the nearest percent.

At a middle school, 18% of all students play football and basketball and 32% of all students play football.

What is the probability that a student plays basketball given that the student plays football?

What is the probability that a student takes Spanish given that the student is taking Technology?

Solution: Summary: The conditional probability of an event B in relationship to an event A is the probability that event B occurs given that event A has already occurred. 25% of the class passed both tests and 42% of the class passed the first test.What percent of those who passed the first test also passed the second test?• Probability and Sample Space • Probability and Frequency Table • Probability and Area • Probability of Simple Events • Probability and Permutations • Probability and Combinations • Probability of Independent Events At a car park there are 100 vehicles, 60 of which are cars, 30 are vans and the remainder are lorries.If every vehicle is equally likely to leave, find the probability of: a) van leaving first. c) car leaving second if either a lorry or van had left first. a) Find the probability that the class has 2 left-handed students.Solution: Example 3: 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.Analysis: This problem describes a conditional probability since it asks us to find the probability that the second test was passed given that the first test was passed.In the last lesson, the notation for conditional probability was used in the statement of Multiplication Rule 2.Related Topics: Introduction To Probability Probability Tree Diagrams Theoretical vs.Experimental Probability In these lessons, we will learn how to solve some probability word problems.


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