2 In a hockey league, each team plays every other team 3 times. The probabilities that Team A wins, draws and loses to Team B are given below.
- \(\mathrm { P } (\) Wins \() = 0.5\)
- \(\mathrm { P } (\) Draws \() = 0.3\)
- \(\mathrm { P } (\) Loses \() = 0.2\)
The outcomes of the 3 matches are independent.
- Find the probability that Team A does not lose in any of the 3 matches.
- Find the probability that Team A either wins all 3 matches or draws all 3 matches or loses all 3 matches.
- Find the probability that, in the 3 matches, exactly two of the outcomes, 'Wins', 'Draws' and 'Loses' occur for Team A.