(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: Exactly two tosses are heads Event...

See pictures for questions a, b and c

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.)

Extracted text: (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: Exactly two tosses are heads Event B: Not all tosses are the same Event A and B: Exactly two tosses are heads and not all tosses are the same


Extracted text: (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 occurs given that Event B occurs. Outcomes given not all tosses are the same Probability HHT HTH HTT THH THT TTH Event A: Exactly two tosses are heads (c) Give the following probabilities and select the correct option below. P(4 and B) P(B) P(4IB) - P(4 and B) P(B) AV or = v PU B)