Question

A six sided die is rolled and a coin is tossed at the same time. What is the probability that the die will land on a number less than or equal to 5 AND the coin will land on tails? Write the answer is a fraction in lowest terms

Answer 1

Independent events

Initi

We have two independent events:

A: the die will land on a number less than or equal to 5

B: the coin will land on tails

We have that

"A and B" mean the die landing on a number less than or equal to 5 AND the coin ladning on tails.

We want to find the probability of "A and B" to occur, this is

P(A and B) = P

We have that the probability of both to happen is given by their product, since they do not depend on each other:

P(A and B) = P(A) x P(B)