Answer :

Answer:

3/4

Explanation:

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

[tex]\text{Probabiblity = }\frac{Expected\text{ outcome}}{Total\text{ outcome}}[/tex]

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;

[tex]\begin{gathered} \text{probability = }\frac{39}{52} \\ \text{probability = }\frac{3\cdot13}{4\cdot13} \\ \text{probability }=\text{ }\frac{3}{4} \end{gathered}[/tex]

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

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