Question

Fighting probability of fallow deer bucks. A study of fallow deer bucks fighting during the mating season looked whether a fight occurred by whether the initiator won or lost. The researchers recorded 167 encounters between two bucks, one of which clearly initiated the encounter with the other. A summary of the fight status of the initiated encounters is provided in the accompanying table. Suppose we select 1 of these 167 encounters and note the outcome of the two variables (fight status and winner).

		Outcome
	Initiator	No Clear	Initiator
Encounter Result	Wins	Winner	Loses	Total
Fight	26	23	15	64
No Fight	80	12	11	103
Total	106	35	26	167

Given the Initiator Wins, what is the probability there was a fight?   Use 4 significant decimal places for your answer, and use the proper rules of rounding. I am looking for just the answer, not the equation.

Answer 1

no clear Initiator wins winner initiator loses Total 26 23 Fight no fight Total 80 106 12 35 15 11 26 103 167 Using the conditional probability rule P(AB) = P(ANB) P(B) Given that initiator wins what is the probability there was a fight is =P(fight | interior win) Linterior win = _P(fight AND interior win) P(interior win) - (26/167) (106/167) _26 106 =0.245283 =0.2453