How many total balls are in the bag at the start?    b) What is the probability that the 1st ball is orange? P(1st = orange) =    c) What is the probability that the 2nd ball is also orange, given that the 1st ball was orange? P(2nd = orange | 1st = orange) =    d) What is the probability that both the 1st and the 2nd balls are orange?

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Author:Amos Gilat
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Topic: Choosing ping-pong balls without replacement.
There are 5 white and 2 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen.
Enter your answers as fractions. They do not need to be reduced.
(The "Preview" simply displays your answer in nice mathematical text.
It does not mean that your answer is either right or wrong.)
a) How many total balls are in the bag at the start?   
b) What is the probability that the 1st ball is orange?
P(1st = orange) =   
c) What is the probability that the 2nd ball is also orange, given that the 1st ball was orange?
P(2nd = orange | 1st = orange) =   
d) What is the probability that both the 1st and the 2nd balls are orange?

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