# Question

Suppose that you draw a single card from a standard deck of 52 playing cards.

a. What is the probability that a diamond or club is drawn?

b. What is the probability that the drawn card is not a 4?

c. Given that a black card has been drawn, what is the probability that it is a spade?

d. Let E1 be the event that a black card is drawn. Let E2 be the event that a spade is drawn. Are E1 and E2 independent events? Why or why not?

e. Let E3 be the event that a heart is drawn. Let E4 be the event that a 3 is drawn. Are E3 and E4 independent events? Why or why not?

a. What is the probability that a diamond or club is drawn?

b. What is the probability that the drawn card is not a 4?

c. Given that a black card has been drawn, what is the probability that it is a spade?

d. Let E1 be the event that a black card is drawn. Let E2 be the event that a spade is drawn. Are E1 and E2 independent events? Why or why not?

e. Let E3 be the event that a heart is drawn. Let E4 be the event that a 3 is drawn. Are E3 and E4 independent events? Why or why not?

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