8. If a card is drawn from a pack of 52 cards. Find the probability of getting:
(i) a black card
(ii) not a black card
(iii) a card bearing number between 2 to 5 including 2 and 5
Sol. There are 52 cards in a pack
∴ n (S) = 52
(i) Let A be event that the card drawn a black card
Total no. of black cards = 26
∴ n (A) = 26
P (A) = n (A)/n (S)
∴ P (A) = 26/52
∴ P (A) = ½
(ii) Let B be the event that the card drawn is not a black card
Total no. of red cards = 26
∴ n (B) = 26
P (B) = n (B)/n (S)
∴ P (B) = 26/52
∴ P (B) = ½
(iii)Let C be the event that card drawn bears number between 2 and 5 including 2 and 5
No. of cards between 2 and 5 including 2 and 5 is 4.
∴ There are 4 types of cards
∴ The total no. of cards between 2 and 5 including 2 and 5 is 4 × 4 = 16
n (C) = 16
P (C) = n (C)/n (S)
∴ P (C) = 16/52
∴ P (C) = 4/13
