Question

1. the table shows the types of movies and the numbers of dvds rented by customers at a store in one day. based on the data in the table, what is the probability that a random customer will not rent a drama? dvd rentals | type of movie | number of rentals | | drama | 25 | | comedy | 36 | | family | 52 | | sci - fi | 12 | \\(\bigcirc\\) 1/5 \\(\bigcirc\\) 4/5 \\(\bigcirc\\) 1/4 \\(\bigcirc\\) 3/4

Explanation:

Step1: Calculate total rentals

First, we find the total number of DVD rentals by adding up the rentals for each movie type.
The number of rentals for Drama is 25, Comedy is 36, Family is 52, and Sci - Fi is 12.
So the total number of rentals $T=25 + 36+52 + 12$.
$25+36 = 61$, $61+52=113$, $113 + 12=125$.

Step2: Calculate non - drama rentals

The number of drama rentals is 25, so the number of non - drama rentals $N=T - 25$.
Since $T = 125$, then $N=125 - 25=100$.

Step3: Calculate the probability

The probability that a random customer will not rent a drama is the number of non - drama rentals divided by the total number of rentals.
So the probability $P=\frac{N}{T}=\frac{100}{125}$.
Simplify $\frac{100}{125}$, divide both the numerator and the denominator by 25. $\frac{100\div25}{125\div25}=\frac{4}{5}$.

Answer:

$\frac{4}{5}$ (corresponding to the option "4/5")