Question

Two cards are drawn from a standard deck of cards.

Part A: If they are drawn with replacement, what is the probability that both cards are 2s? Show your work. (1 point)
Part B: If they are drawn without replacement, what is the probability that the first card is a club and the second card is a spade? Show your work (1 point)
Part C: Which of the two scenarios in Part A or Part B represents dependent events? Explain your answer using complete sentences. Show your work. (2 points)​

Answer 1

Part A: 1/169

Part B: 13/204

Part C: Part B because it is without replacement. Because of this, the denominator in the probability got affected.

Step-by-step explanation:

Part A:

(4/52)*(4/52) = 1/169

Part B:

(13/52)*(13/51) = 13/204

Part C:

Part B because it is without replacement. Because of this, the denominator in the probability got affected.