## uri 2 years ago Stats : From a deck of 52 cards,a card is drawn at random.Find the probability that it is: A) a red card B) a face card C)a diamond card D) either a ten,or a queen E) a face card,or a 5,or a 4 of spade.

1. uri

What? How?

2. shkrina

no of card by total cards i hope....

3. hartnn

yes, first find how many red cards are there in total then divide it by total number of cards P =#red cards / total # of cards

4. shkrina

imean .. as first one ... no of red cards / total no of cards ...

5. shkrina

no of face card by total no of cards ;....

6. uri

How to find how many red cards are there?

7. hartnn

if you know what a deck is, you will know how many red and black cards are there and how many face cards also

8. shkrina

got to know the chart ..... if u play card ....

9. uri

-____________- I don't know? playing cards is HARAM.

10. hartnn
11. shkrina

hmm ... neither mee but for doing the sum gota know the chart ...

12. hartnn

red cards = diamond cards + heart cards

13. uri

@hartnn So there are always 13 red cards,hartnn? so 13/52?

14. hartnn

there are 13 heart cards and 13 diamond cards both are considered as red so, total # of red cards = 26 P= 26/52=....?

15. uri

Wait 13 diamond,13 hearts so 26?

16. shkrina

hope 26/52

17. uri

Lol yes got it. @hartnn

18. uri

so 26/52 =0.5

19. hartnn

yes, 0.5 is correct :) Face cards - Jacks, Queens, and Kings are called "face cards" because the cards have pictures of their names. so, in 52, how many face cards will be there ?

20. hartnn

note: there are total 4jacks, 4 queens and 4 kings, one of each suit.

21. uri

12/52

22. uri

@hartnn

23. hartnn

12/52 is correct. how are face cards 36 in number ?

24. uri

yay so 0.230769

25. shkrina

kk calculated ace too...

26. hartnn

C. is simple total 13 diamonds P=... ?

27. uri

13/52

28. hartnn

yes, correct d) there are 4 tens one of each suit same way, there are 4 queens , one of each suit P=....?

29. hartnn

30. uri

0.25 for diamond cards,and what does *one on each suit* means?

31. hartnn

there are 4 suits in the deck hearts spades diamonds and clubs

32. hartnn

look at the wiki link for details

33. hartnn

so, 4 tens are 1 ten of heart 1 ten of spade 1 ten of diamond and 1 ten of club same for every other card!

34. hartnn

can you get d) now ?

35. uri

Okay so i have a choice i can either go for *a ten* or a *queen* I go for queen so,4/52 = 0.0769

36. hartnn

'or' in probability means we add the individual probabilities 4/52 for queen + 4/52 for a ten (4+4)/52 will be final answer for d)...just simplify

37. uri

Oh then that concept is confusing but okay *8/52?*

38. uri

0.15384

39. hartnn

yes, 8/52 ...simplify that. same for last part just add total number of face cards + total # of 5's and total # of 4 of spade

40. uri

Face cards are 12,total 5's are 4 and spade's are 4? So,12+4+4 =20/52 =0.3846153.

41. hartnn

there are total 4 4's one 4 of heart, one 4 of diamonds one 4 of spades and one 4 of clubs

42. hartnn

so how many # of 4 of spades ?

43. uri

Huh? o_O 4?

44. hartnn

Face cards are 12,total 5's are 4 <---correct there is only \(\huge 1\) 4 of spade

45. uri

46. hartnn

there are total 4 4's one 4 of heart, one 4 of diamonds one 4 of spades <------here , only 1 and one 4 of clubs in the question "4 of spade" is asked, which is unique in all there are 13 spades

47. uri

Don't understand :p

48. hartnn

which part ? only '4 of spade' ? because # of faces=12 .....correct. # of 5's =4 ....correct (one of each suit) # of 4 of spade =.... ?

49. uri

I don't understand # of 4 of spade

50. hartnn

ok, there are 13 cards in each suit A,2,3,4......9,10, J, Q, K A,2,3,4......9,10, J, Q, K of hearts A,2,3,4......9,10, J, Q, K of diamonds A,2,3,4......9,10, J, Q, K of spades A,2,3,4......9,10, J, Q, K of clubs total =52 out of this, how many '4' of spades are there ?

51. Jack1

52. hartnn
53. Jack1

how many of this card are there in a deck...?

54. Jack1

EXACTLY that card...

55. hartnn

^ only \(\huge \color {red}1\) 4 of spade, unique!

56. uri

Okay so there are always 13 spades...? :3

57. hartnn

yes, total 13 spades but that info you don't need here

58. hartnn

E) a face card,or a 5,or a 4 of spade. a face ---->12 a 5----->4 a 4 of spade --->1 P=(12+4+1)/52

59. uri

Okay...:) So i have a Question when there was *A face card* why we didn't use 1?

60. hartnn

because there are in all 12 face cards one Jack of heart one Jack of diamond one Jack of club one Jack of spade total 4 jacks similarly, 4 queens and 4 kings total face cards = 12

61. uri

Oh...:D so aren't spades 13 in total? :P

62. hartnn

63. uri

64. whpalmer4

1 = A

65. hartnn

66. uri

Okay :P so we use *1?* so face cards is 12,5's are 4 so 12+4+1/52 =17/52 =0.32692

67. hartnn
68. hartnn

69. uri

Aren't you smart? :3

70. hartnn

O.o is that a part of the question ? (answer : P=1 :P)

71. uri

P =1? answer of what? :3

72. hartnn

of 'Aren't you smart?' nvm if you didn't get it.......

73. Jack1

lol

74. uri

So you mean you are *A 4 of spade smart*? :P

75. Jack1

probability = 100%

76. terenzreignz

Drawing a single card? Boring... :P

77. uri

Ha! Thanks @hartnn Bhaiya :D

78. hartnn

always welcome ^_^