(i) a spade
Total numbers of cards are 52
Total number of spade cards = 13
Probability of getting spade is = \(\frac{Total\,number\,of\,spade\,cards}{Total\,number\,of\,cards}\) = \(\frac{13}{52}\) = \(\frac{1}{4}\)
(ii) a black card
Total numbers of cards are 52
Cards of spades and clubs are black cards.
Number of spades = 13
Number of clubs = 13
Therefore, total number of black card out of 52 cards = 13 + 13 = 26
Probability of getting black cards is = \(\frac{Total\,number\,of\,black\,cards}{Total\,number\,of\,cards}\) = \(\frac{26}{52}=\frac{1}{2}\)
(iii) the seven of clubs
Total numbers of cards are 52
Number of the seven of clubs cards = 1
Probability of getting the seven of clubs cards is = \(\frac{Total\,number\,of\,the\,seven\,of\,clubs\,cards}{Total\,number\,of\,cards}\)
= \(\frac{1}{52}\)
(iv) jack
Total numbers of cards are 52
Number of jack cards = 4
Probability of getting jack cards is = \(\frac{Total\,number\,of\,jack\,cards}{Total\,number\,of\,cards}\) = \(\frac{4}{52}=\frac{1}{13}\)
(v) the ace of spades
Total numbers of cards are 52
Number of the ace of spades cards = 1
Probability of getting ace of spades cards is = \(\frac{Total\,number\,of\,ace\,of\,spade\,cards}{Total\,number\,of\,cards}\)
= \(\frac{1}{52}=\frac{1}{52}\)
