Two events, event f and event g, are defined below.

event f: a student is a senior in high school.
event g: a student has a younger sibling.

which notation can be used to represent the phrase “the probability of a student having a younger sibling given that the student is a senior in high school”?

a. p(g u f)

b. p(f ∩ g)

c. p(g | f)

d. p(f | g)

The equation respenting the left table is

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Asix-sided number cube is rolled twice. what is the probability that the first roll is an even numbe and the second roll is a number greater than 4?