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?

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?

Part C: Which of the two scenarios in Part A or Part B represents dependent events? Explain.

Thanks in advance to anyone who helps me.

B... it's 13/52 and 13/51 correct?

failurewithasmile
Apr 15, 2017

#1**+1 **

Part A with replacement = 4/52 * 4/52 = 16/ 2804 = 1 / 169

Part B without replacement = 13/52 * 13/51 you are correct FWAS....!!!....just do the math, now!!!

The second is dependent......the probability of drawing a spade on the second draw might be either 13/51 or 12/51 depending on what card is drawn first......

CPhill
Apr 15, 2017