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Sagot :
Answer:
2/3
Explanation:
Probability is the likelihood or chance that an event will occur. The formula for calculating probability is expressed as:
[tex]\text{Probability = }\frac{Number\text{ of expected outcome}}{Number\text{ of total outcome}}[/tex]From the question, we are told that Alonso has 3 action movies, 4 comedies, and 5 dramas. Hence;
[tex]\begin{gathered} \text{Total outcome = 3 + 4 + 5 } \\ \text{Total outcome = 12 movies} \end{gathered}[/tex][tex]Pr(notcomedy)=1-Pr(comedy)[/tex]Number of comedy movies = 4 movies
[tex]\begin{gathered} Pr(comedy)=\frac{4}{12} \\ Pr(comedy)=\frac{1}{3} \end{gathered}[/tex]Next is to get the probability that the movie he selects is not a comedy
[tex]\begin{gathered} Pr(notcomedy)=1-\frac{1}{3} \\ Pr(notcomedy)=\frac{2}{3} \end{gathered}[/tex]Hence the probability that the movie he selects is not comedy is 2/3
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