Question

Two cards are drawn at random from a well shuffled deck of 52 cards. Find the probability that these are (i) both red cards, (ii) both spade cards, (iii) both queens, (iv) one heart and one diamond card, (v) one king and one ace card when (1) the cards are drawn at a time. (2) the cards are drawn one by one with replacement. (3) the cards are drawn one by one without replacement. pls solve it jaldi...

Answer 1

Answer:

n=52

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

Answer 2

Answer:

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Step-by-step explanation:

ANSWER

In  52 cards getting a one card as 52 times 

a.(1) The king in card is two getting in 2 times 

Then  probability =522=261

(ii)In 52 cards the king ,queen and joker are three face card.Then total face cards are 12.So these card get 12 times 

Then probability =5212=133

(!!!)In 52 cards the  red face card  are 3 face card.Then total

red face cards are 3.So these card get 6 times

Then probability =526=263

(iv)In 52 cards the  jack of heart card is one .So the getting time card is one

Then probability =$$\frac{1}{52}

(b) (i)In 52 cards the  spade cards are 13. So getting time is 13

Then probability =5213=41

(ii)In 52 cards the queen of diamonds is one .So getting time is one

Then probevility=521

(iii)In 52 cards Neither a red card nor a queen the total cards are

24.So time of getting cards are 24

Then probability =5224=136

(c) (i)In 52 cards  non-face cards are 40.So timie of getting cards are 40.

Then probability =5224=136

(ii)In 52 cards a black king or a red queen are 4.So getting time is 4.

Then probability =524=131