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 HHH HHT HTH HTT THH THT TTH TTT Event A: The first toss is heads Event B: More heads than tails Event A and B: The first toss is heads and more heads than tails (b) Suppose the first toss is heads. (That is, Event A occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event B. Then, enter the probability that Event B occurs given that Event A occurs. Outcomes given the first toss is heads Probability HHH HHT HTH HTT Event B: More heads than tails Dlo x O PROBABILITY Outcomes and event probability: Conditional probability Emmanuel V EV 3: More heads than tails Event A and B: The first toss is heads and more heads than tails (b) Suppose the first toss is heads. (That is, Event A occurs.) This will limit the possible outcomes. Frorm the remaining outcomes, check the outcomes for Event B. Then, enter the probability that Event B occurs given that Event A occurs. Aa Outcomes given the first toss is heads Probability TH HTT Event B: More heads than tails (c) Give the following probabilities and select the correct option below. P(A and B) P(A) P(B|A) P(A and B) P(A) P(B|A) Explanation Check O 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Accessib P Type here to search op II