A certain sports team has the following game summary for the

A certain sports team has the following game summary for the past sixty regular season games played (which may be more than one season). Number if games played that were home games: 30 P(Home Game) = ________ Number of games played that were won: 48 p(W0n game) = __________ Number of home games played that were won; 18 P(Home game and won game)= _________ Construct a complete probability table representing this data. Include the appropriate title, labels, and caculation. Let \" event H\" represent the event of a home game and \" event W\" represent the event of a win. (Although it is not required, you may want to construct a count table as a first step.) Determine the probability that a randomly selected game from among the sixty games is a home gome, a win or both. Show the appropriate statistical formula, notation, and details. Determine the probability that a randomly selected game is a home game, given that it a win. Shown the appropriate statical formula and all details.

Solution

P(W) = 30
c) P(Loss game given that it is away) = P( Loss and Away) / P(Away) = 0/30 = 0
d) P( Home Game Given that He Win) = P( Home and Win) / P(Win) = 18/48 = 0.375

	HOME	AWAY
WIN	18	30	48	A1
LOOSE	12	0	12	A2
Totals	30	30	60
	B1	B2