A card is drawn from a standard deck of 5252 playing cards. What is the probability that the card will be a heart and not a club? Express your answer as a fraction or a decimal number rounded to four decimal places.

The probability of choosing a heart and not a club is

P = 0.1875

Step-by-step explanation:

There are 13 hearts in a deck of 52 cards. The probability that the chosen card will be a heart is given by

Probability = favorable outcome / Total number of outcomes

P = 13/52 = 1/4

There are 13 clubs in a deck of 52 cards.

The probability of not choosing a club would be

P = 52-13/52 = 39/52 = 3/4

So the combined probability of choosing a heart and not a club is

P = 1/4 * 3/4 = 0.25 * 0.75 = 0.1875