# Solve Probability Problems

• 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.

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The numerator (in red) is the number of chances and the denominator (in blue) is the set of all possible outcomes. Let's take a look at a few examples of probability.

Hopefully these two examples have helped you to apply the formula in order to calculate the probability for any simple event. Check out the spinner in the practice problem below.

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.

In the United States, 56% of all children get an allowance and 41% of all children get an allowance and do household chores.

What is the probability that a child does household chores given that the child gets an allowance?b) What is the probability that the class has at least 3 left-handed students?c) Given that the total number of students in the 30 classes is 960, find the probability that a student randomly chosen from these 30 classes is left-handed.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.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.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.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?

## Comments Solve Probability Problems

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