Answer:
Probability of selecting Mystery DVD from the cabinet is approximately 0.27.
Step-by-step explanation:
Given:
Number of comedy DVD's = 7
Number of mystery DVD's = 4
Number of documentary DVD's = 4
We need to find the probability of randomly selecting a mystery DVD from the cabinet.
Solution:
First we will find the Total number of DVD's.
Total number of DVD's is equal to sum of Number of comedy DVD's and Number of mystery DVD's and Number of documentary DVD's.
framing in equation form we get;
Total number of DVD's =7 + 4 + 4 = 15
Now probability of randomly selecting a mystery DVD can be calculated by dividing Number of mystery DVD's from Total number of DVD's.
[tex]P(E) =\frac{\textrm{Number of possible outcomes}}{\textrm{Total number of outcomes}}[/tex]
Probability of selecting Mystery DVD = [tex]\frac{4}{15}\approx 0.27[/tex]
Hence Probability of selecting Mystery DVD from the cabinet is approximately 0.27.
