kaylay37
17.03.2022 •
Mathematics
In the Monty Hall game show, there are three doors that hide either a goat or a car. Two of the doors hide a goat and the remaining door hides the car. In the game, each player is asked to choose one door at random. Suppose that there are 15 players playing the game in a particular month.
(a) Find the expected number of players who win a car.
(b) Find the probability that
(i) exactly five players win a car;
(ii) more than five players win a car.
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Ответ:
6/4(2x + 1/2y = 9) ---> 3x + 3/4y = 13.5
Add both equations together. The y cancels out.
12x = 19.5
Divide 19.5 by 12 to get: x = 19.5/12
Plug it in to find y.
9x + 3/4y = 6
9(19.5/12) + 3/4y = 6
14 5/8 + 3/4y = 6
-14 5/8 -14 5/8
3/4y = -69/8
3/4 3/4
y = -23/2