Incomplete question:
A fair die is rolled one. What is P(roll less than 4)? If necessary, round your answer to 2 decimal places.
Answer:
P(roll less than 4) = 0.50
Step-by-step explanation:
First, we need to list the sample space.
[tex]S = \{1,2,3,4,5,6\}[/tex]
From the above, we have that:
[tex]n(S) = 6[/tex] i.e. total rolls
Represent Rolls less than 4 with L4; So,
[tex]L4 = \{1,2,3\}[/tex]
[tex]n(L4) = 3[/tex] i.e. number of rolls less than 4
The required probability is calculated as:
[tex]Probability = \frac{n(LA)}{n(S)}[/tex]
[tex]Probability = \frac{3}{6}[/tex]
[tex]Probability = 0.50[/tex]