# How To Solve Probability Word Problems

An examination of the sample space shows that there is one "3 of diamond" so that n(E) = 1 and n(S) = 52.

Having a 1:2 probability for heads means that you will get a heads half of the time.

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.

This is why coins are used to make decisions, like who goes first in a football game–both teams have a 50% chance of going first and that is fair.

A probability tells you how likely something is to occur.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.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. Experiments, outcomes, sample spaces, events, and conditional probability theory are covered.Our interactive spinners and die rolls are truly random.You know that your mother makes turkey on 5 days, and beef on 2. Even though there are two puppies, we are only thinking about one right now. That makes two possible events, with one outcome; so there is a 1:2 chance that one puppy is a girl. So using the steps for solving a joint probability there is 1:4 change that both puppies are girls.Even though there are only two options, it is easier to solve the probability problem by keeping the week divided into equal pieces–7 days. Another way to look at this is to write out the possible gender combinations.Try our sample lessons below or browse other units.To introduce probability theory through simple experiments.

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