Question

A card is drawn from a well shuffled deck of cards.Find the probability that card drawn is (a) a black 9 and (b) king of spades​

Answer 1

Answer:

Out of 52

26 are red (13 diamond and heart each)

26 are black( 13 spades and club each)

Facecards= 12 (4 of jack queen king each)

Non face cards= 40

Ace cards = 4( 1 of diamonds spade club heart each

Non Ace cards= 52-4= 48

Step-by-step explanation:

Total cards = 52

1. No of cards of 2 of spades = 1

Probability =1/52

2. No of jack = 4

Probability= 4/52 = 1/13

3. No of king of red colour= 2

Probability= 2/52= 1/26

4. A card of diamonds= 13

Probability= 13/52= 1/4

5. A king or a queen = 4+4= 8

Probability= 8/52=2/13

6. Non face card = 40

Probability= 40/52= 10/13

7.black face card = 2+2+2= 6

Probability=6/52=3/26

8. Black card = 26

Probability= 26/52=1/2

9. Non Ace = 52-4=48

Probability= 48/52=12/13

10. Non-face of black card =26-2-2-2=20

Probability 20/52=5/13

11.Neither spade nor jack= 13-3(as 1 spade jack is present)

Probability= 10/52=5/26

12.Neither heart nor red king= 13-1(1 heart of king included)

Probability= 12/52=3/13

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Hope it helps