Football teams T 1 and T 2 have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T 1 winning, drawing and losing a game against T 2 are 
, 
and 
, respectively. Each team gets 3 points for a win, 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams T 1 and T 2 , respectively, after two games.
(i) P (X > Y) is
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)
Sol. P(X > Y) = T 1 T 1 + DT 1 + T 1 D (Where T 1 represents wins and D represents draw)
= 
= ⇒ is correct
(ii)
Sol. P(X = Y) = DD + T 1 T 2 + T 2 T 1 = 
= 
= 
= 
⇒ is correct
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