Question

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

Answer 1

2/3

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur. The formula for calculating probability is expressed as:

`\text{Probability = }\frac{Number\text{ of expected outcome}}{Number\text{ of total outcome}}`

From the question, we are told that Alonso has 3 action movies, 4 comedies, and 5 dramas. Hence;

`\begin{gathered} \text{Total outcome = 3 + 4 + 5 } \\ \text{Total outcome = 12 movies} \end{gathered}`
`Pr(notcomedy)=1-Pr(comedy)`

Number of comedy movies = 4 movies

`\begin{gathered} Pr(comedy)=(4)/(12) \\ Pr(comedy)=(1)/(3) \end{gathered}`

Next is to get the probability that the movie he selects is not a comedy

`\begin{gathered} Pr(notcomedy)=1-(1)/(3) \\ Pr(notcomedy)=(2)/(3) \end{gathered}`

Hence the probability that the movie he selects is not comedy is 2/3