From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will: (i) be a black card. (ii) not be a red card. (iii) be a red card. (iv) be a face card.
From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will: (i) be a black card. (ii) not be a red card. (iii) be a red card. (iv) be a face card.

(iii) Number of red cards in a deck = 26

The number of favourable outcomes for the event of drawing a red card = 26

Then, probability of drawing a red card = 26/52 = ½

 

(iv) There are 52 cards in a deck of cards, and 12 of these cards are face cards (4 kings, 4 queens and 4 jacks).

The number of favourable outcomes for the event of drawing a face card = 12

Then, probability of drawing a face card = 12/52 = 3/13