#36 How does the answer to exercise 30 relate to the answer for exercise 27? Exe

Question

#36 How does the answer to exercise 30 relate to the answer for exercise 27? Exercises 25-36 concern 2-card hands from a standard 52-card deck. A standard deck has 13 cads irom 4 suits (clubs, diamonds, hearts, spades). The 13 cards have face value 2 through 10, jack, quen, king, or ao Each face value is a "kind" of card. The jack, queen, and king are "face cards." 25. What is the size of the sample space? 26. What is the probability that both cards are the same suit? 27. What is the probability that neither card is a spade? 28. What is the probability that both cards are spades? 29. What is the probability that exactly 1 card is a spade? 30. What is the probability that at least 1 card is a spade? 31. What is the probability that both cards are face cards? 32. What is the probability that exactly 1 card is a face card? 33. What is the probability that both cards are spade face cards? 34. What is the probability that both cards are either face cards or spades? 35. How does the answer to Exercise 30 relate to the answers for Exercises 28 and 29? each of een, king, or ace. 36. How does the answer to Exercise 30 relate to the answer for Exercise 27?

Explanation / Answer

In prob#27 , We have to find probability when neither card is spade

while in prob#30 , It is given to find probability where atleast 1 card is a spade

There can be more than one card that is of spade

so, prob#27 and prob#30 are opposite of each other

Hence , for finding prob#30 , we subtract probability of prb#27 from 1

probibility for prob#30 = 1- (probability for prob#27).............Answer

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