A coin is tossed three times. An outcome is represented by a string of the sortHTT(meaning heads on the first toss, followed by two tails). The8 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. OutcomesProbability HHHHHTHTHHTTTHHTHTTTHTTTEvent 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, EventAoccurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for EventB. Then, enter the probability that EventBoccurs given that EventAoccurs. Outcomes given the first toss is headsProbability HHHHHTHTHHTT Event B: More heads than tails (c)Give the following probabilities and select the correct option below. PA and BPA= PB|A= PA and BPA▼?PB|A

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

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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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

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 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

occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event

. Then, enter the probability that Event

occurs given that Event

occurs.

	Outcomes given the first toss is heads	Probability
	HHH	HHT	HTH	HTT
Event B: More heads than tails

(c)Give the following probabilities and select the correct option below.

PA and BPA	=
PB\|A	=
PA and BPA	▼?	PB\|A

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