Question

What are the odds in favour of getting a space if a card is drawn from a well-shuffled deck of cards? What are the odds in favour of getting a king?

Answer 1

In a pack of 52 cards, there are 13 cards of spade.
There are 13 outcomes favourable to the event 'a spade', while the other (52 -13) are unfavourable.

$\therefore$ Odds in favour of getting a spade

$=\frac{\text{Number of favourable outcomes}}{\text{Number of unfavourable outcomes}}=\frac{13}{39}=\frac{1}{3}=1:3$

Again, there are four kings in a pack of 52 cards.

There are 4 outcomes favourable to the event 'a king', while the other (52-4) = 48 are unfavourable.

Odds in favour of getting a king =

$\frac{\text{Number of favourable outcomes}}{\text{Number of unfavourable outcomes}}=\frac{4}{48}=\frac{1}{12}=1:12$