Q263 / 270 · NDA 2022 (Phase 2) · Mathematics

A card is drawn from a pack of 52 cards. A gambler bets that it is either a spade or an ace. The odds against his winning are

  • Correct answer
    A
    $9: 4$
  • B
    $35: 17$
  • C
    $17: 35$
  • D
    $4: 9$

Solution

Number of favorable outcomes (either spade or ace) $=13+3=16$ Number of unfavorable outcomes $=52-16=36$ $\begin{aligned} \therefore & \text { Odds against his winnings }=\frac{\text { No. of unfavorable }}{\text { No. of favorable }} \\ & =\frac{36}{16}=9: 4\end{aligned}$

Hence, the correct answer is option: 'A'.

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