# Milestone 3.docx - 1 David is playing a game where he flips...

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1David is playing a game where he flips two coins and counts the total number of heads. The possible outcomes and probabilities are shown in the probability distribution below. What is the expected value for the number of heads from flipping two coins? 131.52RATIONALEThe expected value, also called the mean of a probability distribution, is found by adding the products of each individual outcome and its probability. We can use the following formula to calculate the expected value, E(X):CONCEPTExpected Value2Using this Venn diagram, what is the probability that event A or event B occurs?
0.41RATIONALETo find the probability that event A or event B occurs, we can use the following formula for overlapping events:The probability of event A is ALL of circle A, or 0.24 + 0.41 = 0.65.The probability of event B is ALL of circle B, or 0.12 + 0.41 = 0.53.The probability of event A and B is the intersection of the Venn diagram, or 0.41.We can also simply add up all the parts = 0.24 + 0.41 + 0.12 = 0.77. CONCEPT"Either/Or" Probability for Overlapping Events3Two sets A and B are shown in the Venn diagram below.Which statement is FALSE? CONCEPTVenn Diagrams4
For a math assignment, Michelle rolls a set of three standard dice at the same time and notes the results of each trial.What is the total number of outcomes for each trial? CONCEPTFundamental Counting Principle5Using the Venn Diagram below, what is the conditional probability of event B occurring, assuming event A has happened [P(B|A)]? 0.240.410.770.63RATIONALE
To get the probability of B given A has occurred, we can use the following conditional formula: The probability of A and B is the intersection, or overlap, of the Venn diagram, which is 0.41.The probability of A is all of Circle A, or 0.24 + 0.41 = 0.65. CONCEPT Conditional Probability6John makes random guesses on his multiple-choice test, which has five options for each question. Let the random variable X be the number of guesses taken before guessing correctly.
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