Question Type 4: Creating a table of outcomes to calculate probabilities of two different random events cojoint into one Exercises

A fair coin is tossed and a fair six-sided die is rolled. What is the probability that the coin shows heads and the die shows an even number?

Two fair dice are rolled. What is the probability that both dice show an even number?

Two fair dice are rolled. What is the probability that the sum of the two faces is divisible by 3?

Two fair six-sided dice are rolled. What is the probability that the product of the two faces is 12?

Two fair dice are rolled. What is the probability that the product of the faces is a perfect square?

Two fair coins are tossed and one fair die is rolled. What is the probability of exactly one head and a die result that is a multiple of 3?

Two fair dice are rolled. What is the probability that one die shows a 4 and the sum of the two dice is a prime number?

A fair coin is tossed and two fair dice are rolled. What is the probability that the coin shows tails and the sum of the two dice is greater than 8?

Two fair dice are rolled. What is the probability that the sum of the squares of the faces is even?

Two fair dice are rolled. What is the probability that the product of the faces is divisible by 4 and the sum of the faces is divisible by 3?

Two fair dice are rolled and then one card is drawn at random from a standard 52-card deck. Find the probability that the sum of the dice is 7 and the card drawn is a heart.

Two fair dice are rolled. What is the probability that the product of the faces plus their sum is at least 10?