Question

If a card is drawn from a well-shuffled deck of cards, then what are the odds in favour of getting a spade.

• A. $\frac{1}{3}$
• B. $\frac{3}{6}$
• C. $\frac{1}{2}$
• D. $\frac{1}{4}$

Answer 1

The correct option is A $\frac{1}{3}$

$P\left(S\right)=\frac{13}{52}=\frac{1}{4}\left(P\right(\overline{S})=1-P(S)=1-\frac{1}{4}=\frac{3}{4}$

Then, Odds in favour of getting a spade
$=\frac{P\left(S\right)}{P\left(\overline{S}\right)}=\frac{\frac{1}{4}}{\frac{3}{4}}=\frac{1}{3}=1:3$

So, option a is correct.