5.
a.
Number of hearts + Number of spades = 13 + 13 = 26
Total number of cards = 52
Probability of randomly selecting a heart or spade if one card is selected from the deck randomly = 26/52 = 1/2 = 0.5
b.
Number of hearts + Number of spades + Number of club = 13 + 13 + 13 = 39
Total number of cards = 52
Probability of randomly selecting a heart or spade or club if one card is selected from the deck randomly = 39/52 = 3/4 = 0.75
c. Number of 'two' Cards = n(A) = 4
Number of diamond cards = n(B) = 13
Number of two and diamond card = n(A B) = 1
Total number of cards = 52
We use general formula for computing number of elements in the union or intersection of two sets:
Probability of randomly selecting a two or diamond if one card is selected from the deck randomly
= ( 4 + 13 - 1 ) / 52 = 16/52 = 4/13 = 0.3077
d.
Probability that the first is club = Number of clubs / total cards = 13/52
Now since one card has been drawn , so, total number of cards remaining in the deck will be 51
Probability that the second is heart = Number of hearts / total cards = 13/ 51
Now since 2 cards have been drawn , so, total number of cards remaining in the deck will be 50
Probability that the third is spade = Number of spades / total cards = 13/ 50
Probability that the first is club and second is heart and third is spade = (13/52) *(13/51) * (13/50)
= 0.01657
5. (10) A standard deck of cards contains 52 cards. (Round to THREE decimal places as...
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