Homework SourseSuppose that two cards are randomly selected from a standard
Suppose that two cards are randomly selected from a standard 52-card deck.
A) What is the probability that the first card is a spade and the second card is a spade if the sampling is done without replacement?
B) What is the probability that the first card is a spade and the second card is a spade if the sampling is done with replacement?
Suppose that two cards are randomly selected from a standard 52-card deck.
A) What is the probability that the first card is a spade and the second card is a spade if the sampling is done without replacement?
B) What is the probability that the first card is a spade and the second card is a spade if the sampling is done with replacement?
A) What is the probability that the first card is a spade and the second card is a spade if the sampling is done without replacement?
B) What is the probability that the first card is a spade and the second card is a spade if the sampling is done with replacement?
Solution
a) Prob that the first card is a spade = 1/4
Without replacement hence Prob for second card to be spade = 12/51
Hence reqd prob = 13C2/52C2 = 13(12)/52(51) =
0.05882
b) If with replacement Prob for I and ii card being spade is equal = 1/4
Hence required prob = 1/16 = 0.0625
