A card is drawn from a well shuffled deck of cards, Mathematics

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A card is drawn from a well shuffled deck of cards

(i) What are the odds in favour of getting spade? (Ans: 1:3, 3:1, 3:10, 1:25)

(ii) What are the odds against getting a spade?

(iii) What are the odds in favour of getting a face card?

(iv) What are the odds in favour of getting a red king

Ans: Total cards 52

Spade = 13

Remaining cards 39

i) The odds in favour of getting spade 13

The odds is not in favour of getting spade 39

= 13/52 : 39/52 = 1 : 3

ii) The odds against getting a spade 39

The odds not against getting a spade 13

= 39/52 : 13/52

= 3 : 1

iii) The odds in favour of getting a face card 12

The odds not in favour of getting a face card 40

= 12/52 : 40/52 = 3 :10

iv) The odds in favour of getting a red king 2

The odds not in favour of getting a red king 50

= 2/52 : 50/52

= 1 : 25

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