How would I approach this problem?

V A coin is tossed three times. An outcome is represented by a string of the sort HIT (meaning heads on the rst 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. (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes HHH HHT HTH HTT THH THT TTH TTT Probability Event A: Exactly two tosses are heads I | | | | | | | l | l | | | | | Event B: Not all tosses are the same I | | | | | | | l | l | | | | | Event A and B: Exactly two tosses are heads and not all tosses are the same (b) Suppose not all tosses are the same. (That is, Event B occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for (b) Suppose not all tosses are the same. (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 oocurs given that Event B occurs. Outcomes given not all tosses are the same HHT HTH HTT THH THT TTH Probability Event A: Exactly two tosses are heads I | | | | | | | | | | | (c) Give the following probabilities and select the correct option below. HA and B) P (B) P(A |B) W109 |B)