Question

13 MT(S) Ins) 9 1) A card is drawn from a well shuffled pack of 52 playing cards, Find the probabllity of each event. The card drawn is dis a red card (ii) a face card : H(S) Solution: S is the sample space Event A: Cant drawn is a red card Toul red card C S hearts diamonds ( 11 1 (A) = : P(A) "A) = "(S) Frent B: Cord drawn is a face card Total lace cards = .: n() = P(B) = +4(B) W(S)​

Answer 1

i) King of red colour can be hearts King or a diamond king.

So, the possibility is 2.

P(Red king)=

52

2

=

26

1

ii) A face card can be jack, queen, king of any suite.

In this way we will get 3×4=12 face cards.

P(Face card)=

52

12

=

13

3

iii) A red face card can be either hearts or diamond king, jack or queen, which means there are 3×2=6

P(Red face card)=

52

6

=

26

3

iv) There is only one Jack of hearts.

P(Jack of hearts)=

52

1

v) There are 13 spades in total.

So, P(Spade)=

52

13

=

4

1

vi) There is only one queen diamond.

Hence, P(Queen diamond)=

52

1