A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is
(i) a ten
(ii) a spade
(iii) a black card
(iv) the seven of clubs

Explanation

i) A ten
Total numbers of cards are `52`
Total number of ten cards `= 4`
Probability of getting ten cards is = Total number of ten cards/Total number of cards
`= 4/52= 1/13`
∴ Probability of getting ten card is `1/13`

(ii) A spade
Total numbers of cards are `52`
Total number of spade cards = `13`
Probability of getting spade is = Total number of spade cards/Total number of cards
`= 13/52= 1/4`
∴ Probability of getting a spade is `1/4`

(iii) 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`
Total number of black card out of `52 `cards `= 13 + 13 = 26`
Probability of getting black cards is = Total number of black cards/Total number of cards
`= 26/52``= 1/2`
∴ Probability of getting a black card is` 1/2`

(iv) The seven of clubs Total numbers of cards are `52`
Total number of the seven of clubs cards `= 1`
Probability of getting the seven of clubs cards is = Total number of the seven of club cards/ Total numbers of cards
`= 1/52`
∴ Probability of the seven of club card is `1/52`