You have done both parts correctly.
In part b) you found P(W).
For part c) you need .
Question:
The probability of the scores on a biased dice are shown in the table below.
(a) Find the value of k.
Two players, Hazel and Ross, play a game with this biased dice and a fair dice. Hazel choose one of the two dice at random and rolls it. If the score is 5 or 6 wins a point.
(b) Calculate the probability that Hazel wins a point.
(c) Hazel chooses a dice, rolls it and wins a point. Find the probability that she choose the biased dice.
Attempt:
(a)
k =
(b) P(Hazel wins a point) =
P(Hazel wins a point) =
(c) Need Help!!..