Question

A number cube labeled 1 through 6 is rolled. Let A be the event that the number cube lands on an even number and let B represent the event that the number cube lands on a number greater than 4. Find P(A U B).

Answer 1

p(A U B) = P(A) + P(B)

Cube = 1, 2, 3, 4, 5, 6

even = 2, 4, 6

Number greater than four = 5, 6

If A is the event that the number cube lands on an even number

Then P(A) = 3/6

If B represent the event that the number cube lands on a number greater than four,

Then P(B) = 2/6

p(A U B) = P(A) + P(B)

= 3/6 + 2/6

=5/6