# 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

## Answers

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*

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