Question

5. A card is drawn from a well shuffled pack of 52 cards. Find the probability of getting
(a) a spade (b) an ace
(c) a red king
hint: In a pack of 52 cards, there are 13 spades, 13 diamonds, 13 hearts and 13 clubs.​

Answer 1

Answer:

S is the sample space

n(S) = 52 .......(there are 52 cards)

(a) Let A be the event that the card drawn is a spade

there are 13 cards in the suit of spade

one spade can be drawn out of 13 spade cards in 13 ways

n(A) = 13

P(A) = n(A)/n(S) = 13/ 52 = 1/4

(b) Let B be the event that the card drawn is an ace.

there are four suits, spade, heart, diamond and club.

each suite has one ace

n (B) = 4

P ( B) = n(B)/n(S) = 4/52 = 1/13

(c) Let C be the event that the card drawn is red and has a king

there are 26 red cards and a king in each suit

there are four kings

here sample space is 26

P(C) = 4/26

Answer 2

Answer:

$4x + 9y = 130 \\ 13xy = 130 \\ xy = 130 \div 13 \\ xy = 10$