Zoologists investigated the likelihood of fallow deer bucks fighting during the mating season. During a 270-hour observation period, the researchers recorded 205 encounters between two bucks. Of these, 174 involved one buck clearly initiating the encounter with the other. In these 174 initiated encounters, the zoologists kept track of whether or not a physical contact fight occurred and whether the initiator ultimately won or lost the encounter. (The buck that is driven away by the other is considered the loser.) Suppose we select one of these 174 encounters and note the outcome (fight status and winner). E Click the icon to view a summary of the 174 initiated encounters. a. What is the probability that a fight occurs and the initiator wins? The probability isO. (Round to the nearest thousandth as needed.) b. What is the probability that no fight occurs? The probability isO. (Round to the nearest thousandth as needed.) c. What is the probability that there is no clear winner? The probability is|. (Round to the nearest thousandth as needed.)

Zoologists investigated the likelihood of fallow deer bucks fighting during the mating season. During a 270-hour observation period, the researchers recorded 205 encounters between two bucks. Of these, 174 involved one buck clearly initiating the encounter with the other. In these 174 initiated encounters, the zoologists kept track of whether or not a physical contact fight occurred and whether the initiator ultimately won or lost the encounter. (The buck that is driven away by the other is considered the loser.) Suppose we select one of these 174 encounters and note the outcome (fight status and winner). E Click the icon to view a summary of the 174 initiated encounters. a. What is the probability that a fight occurs and the initiator wins? The probability isO. (Round to the nearest thousandth as needed.) b. What is the probability that no fight occurs? The probability isO. (Round to the nearest thousandth as needed.) c. What is the probability that there is no clear winner? The probability is|. (Round to the nearest thousandth as needed.)

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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Estimation

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Question

No Clear
Winner
Initiator
Initiator
Totals
Wins
Loses
Fight
No Fight
27
26
17
70
83
11
10
104
Totals
110
37
27
174

Zoologists investigated the likelihood of fallow deer bucks fighting during the mating season. During a 270-hour observation period, the researchers recorded 205 encounters between two
bucks. Of these, 174 involved one buck clearly initiating the encounter with the other. In these 174 initiated encounters, the zoologists kept track of whether or not a physical contact fight
occurred and whether the initiator ultimately won or lost the encounter. (The buck that is driven away by the other
and note the outcome (fight status and winner).
E Click the icon to view a summary of the 174 initiated encounters.
considered the loser.) Suppose we select one of these 174 encounters
a. What is the probability that a fight occurs and the initiator wins?
The probability is. (Round to the nearest thousandth as needed.)
b. What is the probability that no fight occurs?
The probability isD. (Round to the nearest thousandth as needed.)
c. What is the probability that there is no clear winner?
The probability isD. (Round to the nearest thousandth as needed.)
d. What is the probability that a fight occurs or the initiator loses?
The probability is. (Round to the nearest thousandth as needed.)
e. Are the events "no clear winner" and "initiator loses" mutually exclusive?
No
Yes

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