Question

A card is selected at random from an ordinary pack of 52 Playing cards. State the probability (i) that the card is a club, (ii) that the card is either a club or an ace (or Both)?

Answer 1

`1/2` and `4/13`

Explanation:

The probability of drawing cards in a regular deck would be:

`"number of cards in specification"/"total number of cards"`

1) The first specification is that it has to be a club. There are `13` clubs, and `52` total cards so the probability is:

`13/52 rarr 1/4`

The probability of choosing a club is `1/4` or `25%`.

2) The second statement is that a card is either a club or an ace. There are still `13` clubs including an ace. There are `3` aces that aren't already a club, so the total amount is `13 + 3 = 16`

`16/52 rarr 4/13`

The probability of choosing a club or an ace would be `4/13` or `31%`.