A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet?

Question

A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet? (A) 17: 52 (B) 52: 17 (C) 9: 4 (D) 4: 9

Tardigrade Admin · Accepted Answer

Probability of the card being a spade or an ace =(16/52)=(4/13). Hence odds in favour is 4: 9. So the odds against his winning is 9: 4.

Q. A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet?

$17 : 52$

$52 : 17$

$9 : 4$

$4 : 9$

Probability of the card being a spade or an ace $= \frac{16}{52} = \frac{4}{13}$ . Hence odds in favour is $4 : 9.$
So the odds against his winning is $9 : 4.$

Q. A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet?

17:52

52:17

9:4

4:9

Probability of the card being a spade or an ace =5216​=134​. Hence odds in favour is 4:9. So the odds against his winning is 9:4.

$17 : 52$

$52 : 17$

$9 : 4$

$4 : 9$

Probability of the card being a spade or an ace $= \frac{16}{52} = \frac{4}{13}$ . Hence odds in favour is $4 : 9.$
So the odds against his winning is $9 : 4.$