Mathematics, 07.12.2020 20:00 omojay1257
Bag contains n marbles, two of which are blue. Hayley plays a game in which she randomly draws marbles out of the bag, one after another, without replacement. The game ends when Hayley draws a blue marble.
(a) [1 mark] Find the probability, in terms of n, that the game will end in her first draw.
(b) [3 marks] Find the probability, in terms of n, that the game will end on her second draw.
(c) [2 marks] Let n=5
n
=
5
. Find the probability that the game will end on her third draw.
(d) [2 marks] Let n=5
n
=
5
. Find the probability that the game will end on her fourth draw.
Hayley plays the game when n=5
n
=
5
. She pays $20 to play and can earn money back depending on the number of draws it takes to obtain a blue marble. She earns no money back if she obtains a blue marble on her first draw. Let M be the amount of money that she earns back playing the game. This information is shown in the following table.
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Bag contains n marbles, two of which are blue. Hayley plays a game in which she randomly draws marbl...
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