Answered

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Alonzo is going to watch a movie in his collection.He has 3 action movies, 4 comedies, and 5 dramas. He will randomly select one movie. What is the probability that the movie he selects is not comedy.Write your answer as a fraction

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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