The number of playing cards in a deck = 52.
(i) The number of diamonds cards in the deck = 13.
∴ The probability that the card drawn is a diamonds
= \(\frac { 13 }{ 52 }\) = \(\frac { 1 }{ 4 }\)
(ii) The number of non-diamonds cards
= 52 – 13 = 39
∴ The probability that the card drawn is not diamonds
= \(\frac { 39 }{ 52 }\) = \(\frac { 3 }{ 4 }\)
(iii) The number of black cards in the deck = 13 spades + 13 clubs = 26.
∴ The probability that the drawn cards is black
= \(\frac { 26 }{ 52 }\) = \(\frac { 1 }{ 2 }\)
(iv) The probability of getting not black card
= 1 – \(\frac { 1 }{ 2 }\) = \(\frac { 1 }{ 2 }\)