A single card is drawn from a standard deck. Find the probability of the following event. Drawing a jack or a face card

Answer 1

Although two outcomes are specified, one outcome (drawing a jack) is completely contained within the other outcome (drawing a face card) since a jack is one of the face cards. Mathematically, the union of the set of all face cards with the set of all jacks is the set of all face cards. That means you only need to calculate the probability of drawing a face card, since that will include the probability of drawing a jack.

There are 52 cards in a standard deck. There are three face cards (jack, queen and king), and there are four of each of those for the four suits in a deck of cards. So there are 3 x 4 = 12 total face cards.

There is an equal probability of drawing any one given card, so the probability is 12/52 = 3/13.

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