Outcomes and event probability: Conditional probability A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails). The 8 outcomes are listed below. ASsume that each outcome has the same probability. Complete the following. Write your answers as fractions. (If necessary, consult a list of formulas.) (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability | TH HT THH T H | TT s ? Event A: The last toss is heads Event B: At least one toss is tails Event A and B: The last toss is heads and at least one toss is tails (b) Suppose at least one toss is tails. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. Outcomes given at least one toss is tails Probability HHT HTH HTT THH THT TTH TTT Event A: The last toss is heads Explanation Check O 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy e Type here to search and at least one toss is tails (b) Suppose at least one toss is tails. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomnes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. Outcomes given at least one toss is tails Probability | T | HT TH TTT Event A: The last toss is heads (c) Give the following probabilities and select the correct option below. P(A and B) P(B) %3D P(A|B) %3D P(A and B) P(B) v P(A|B) Explanation Check O 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy | to search Outcomes and event probability: Conditional probability A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails). The 8 outcomes are listed below. ASsume that each outcome has the same probability. Complete the following. Write your answers as fractions. (If necessary, consult a list of formulas.) (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability | TH HT THH T H | TT s ? Event A: The last toss is heads Event B: At least one toss is tails Event A and B: The last toss is heads and at least one toss is tails (b) Suppose at least one toss is tails. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. Outcomes given at least one toss is tails Probability HHT HTH HTT THH THT TTH TTT Event A: The last toss is heads Explanation Check O 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy e Type here to search and at least one toss is tails (b) Suppose at least one toss is tails. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomnes for Event A. Then, enter the probability that Event A occurs given that Event B occurs. Outcomes given at least one toss is tails Probability | T | HT TH TTT Event A: The last toss is heads (c) Give the following probabilities and select the correct option below. P(A and B) P(B) %3D P(A|B) %3D P(A and B) P(B) v P(A|B) Explanation Check O 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy | to search