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Probability Exercises

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1. Determine for the following box, whether number and shape are independent or dependent. The box has a triangle with a 3 in it, a square with a 2 in it, a square with a 3 in it, and a triangle with a 2 in it.

a. dependent

b. independent

2. There are 5 Democrats, 18 Republicans, and 14 Independents in a room. Two people will be selected at random without replacement. The conditional probability that the second person is an Independent, given that the first person is a Republican is:

a. 14/31

b. none of these

c. 17/32

d. 7/16

e. 1/22

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Hi there,

Thanks for letting me work on your post. Here is my explanation:

1.P(picking up 3) = 2/4 = 1/2
P(picking up ...

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