For all the questions we will use the following quotient to determine the probability that an event occurs:
[tex]\frac{\text{Favorable cases}}{Total\text{ cases}}.[/tex]For all the questions the number of total cases is 6.
For the first question, we count the number of even numbers of a die: 2, 4, and 6.
For the second question, we count the number of numbers greater than 0: 1, 2, 3, 4, 5, and 6.
For the third question, we count the number of numbers less than 4: 1, 2, and 3.
For the last question, we count the number of prime numbers between 1 and 6: 2, 3, and 5.
Answer:
(a)
[tex]\frac{3}{6}=0.5.[/tex](b)
[tex]\frac{6}{6}=1.[/tex](c)
[tex]\frac{3}{6}=0.5.[/tex](d)
[tex]\frac{3}{6}=0.5.[/tex]
