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NDA 2022

Exam: NDA
Year: 2022
Subject: Mathematics
Chapter: Probability

NDA 2022 · Mathematics · Probability

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

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

Options

A $9: 4$
B $35: 17$
C $17: 35$
D $4: 9$

Correct answer

A. $9: 4$

Step-by-step 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}

$$

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