If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -

If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is - Correct Answer $$\frac{{4}}{{13}}$$

$$P\left( {S \cup K} \right) = $$   $$P\left( S \right) + $$  $$P\left( K \right) - $$  $$P\left( {S \cap K} \right),$$   (where S denotes spade and K denotes king.)
$$\eqalign{ & P\left( {S \cup K} \right) = \frac{{13}}{{52}} + \frac{4}{{52}} - \frac{1}{{52}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{4}{{13}} \cr} $$

Related Questions

The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. A card is picked at random from a well shuffled regular pack of cards. What card is it? I. If another card is drawn without replacement, the probability that it is a red queen is not 2/51 II. If another card is drawn without replacement, the probability that it is not a diamond is 13/17