Question

Jim picked a card from a standard deck. What is the probability that Jim picked a heart or an ace?

Answer 1

`4/13`

Explanation:

The probability for card drawing is:

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

The specification given is that it has to be a heart or an ace. The probability that Jim would pick just a heart would be:

`13/52`

Because there are 13 heart cards in a deck. But it could also be an ace, so the probability would change. There are `3` other aces in the deck that we haven't already counted. The first ace was a heart, so it has been put into the probability already. So add these probabilities together:

`(13+3)/52 rarr 16/52 rarr 4/13`

So the probability is `4/13`.