(a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability HHH HHT HTHHTT THH THT TTH TTT 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

(a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability HHH HHT HTHHTT THH THT TTH TTT 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

See pictures for questions a and b. Write your answers as fractions.

Problem

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.

(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 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 tals. (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

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