# The probability that the school team wins a match is 0.6. The probability that the team loses is 0.3 and the probability that the team...

The probability that the school team wins a match is 0.6. The probability that the team loses is 0.3 and the probability that the team has is 0.1. The team plays 3 games. What is the probability that the team;(a)wins two matches
(b)either wins all the matches or loses all the matches
(c)wins one match,loses one and ties in one Win = 0.6
Lose = 0.3
Tie = 0.1
Three matches,
a) Winning two matches
=WWL or WLW or LWW or WWT or WTW or TWW
= 0.6*0.6*0.3 + 0.6*0.3*0.6+0.3*0.6*0.6 + 0.6*0.6*0.1 + 0.6*0.1*0.6 + 0.1*0.6*0.6
= 0.108+0.108+0.108+0.036+0.036+0.036
= 0.432
b) Either wins all matches or loses all matches
=WWW+LLL
= 0.6*0.6*0.6 +0.3*0.3*0.3*
=0.216 +0.027
= 0.243
c) Wins one match, loses one match and ties one match
= WLT +WTL+LWT+LTW+TWL+TLW
=0.6*0.3*0.1+ 0.6*0.1*0.3+0.3*0.6*0.1+0.3*0.1*0.6+0.1*0.3*0.6+0.1*0.6*0.3
= 0.108

joseph kieti answered the question on December 11, 2017 at 10:06