Question

A card is drawn from a pack of 52 cards. A gambler bets

that it is a spade or an ace. What are that odds against his

winning this bet -

• A. 17 : 52
• B. 52 : 17
• C. 9 : 4
• D. 4 : 9

Answer 1

Answer: (C)

9 : 4

Answer 2

⁴C₂× ³C₁ × ; P(Spade Č Ace)

= $\frac { 13 } { 52 }$ + $\frac { 4 } { 52 }$ – $\frac { 4 } { 13 }$ = $\frac { 4 } { 4 + 9 }$

Odds favour = 4 : 9 ; Odds against = 9 : 4