Question

If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability thatthe card you select is not a heart.

Answer 1

3/4

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur. It is expressed as;

`\text{Probabiblity = }\frac{Expected\text{ outcome}}{Total\text{ outcome}}`

Total number of cards is the total outcome = 52

Since we want to determine the probability that the card you select is not a heart, then;

Expected outcome = 52-13 (since there are 13 hearts)

Expected outcome = 39 (not a heart)

Substitute into the formula;

`\begin{gathered} \text{probability = }(39)/(52) \\ \text{probability = }(3\cdot13)/(4\cdot13) \\ \text{probability }=\text{ }(3)/(4) \end{gathered}`

Hence the probability that the card selected is not a heart is 3/4