A game at the local annual Apple Festival has players reach into a covered tub to pull out an apple. In the tub are 10 red apples, 3 green apples, and 1 yellow apple. Let R be the event of drawing a red apple, G be the event of drawing a green apple, and Y be the event of drawing a yellow apple. If a player draws a green apple, then the player has the choice of taking a $2 prize or (leaving the green apple out) reaching back into the tub for a chance to draw the yellow apple (which gives a prize of $20). There is no prize for drawing a red apple. First, find P(Rc). What does this mean regarding winning a prize on the first draw? Then, if on the first draw Deion pulls out a green apple, then decides to make a second draw instead of taking the $2 prize, what is the probability Deion will win at least $2?
A game at the local annual Apple Festival has players reach into a covered tub to pull
out an apple. In the tub are 10 red apples, 3 green apples, and 1 yellow apple. Let R be
the event of drawing a red apple, G be the event of drawing a green apple, and Y be the
event of drawing a yellow apple. If a player draws a green apple, then the player has the
choice of taking a $2 prize or (leaving the green apple out) reaching back into the tub for
a chance to draw the yellow apple (which gives a prize of $20). There is no prize for
drawing a red apple.
First, find P(Rc). What does this mean regarding winning a prize on the first draw?
Then, if on the first draw Deion pulls out a green apple, then decides to make a second
draw instead of taking the $2 prize, what is the probability Deion will win at least $2?
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