IB Mathematics Applications & Interpretation Question Type 4: Creating a Table of Outcomes to Calculate Probabilities of Two Different Random Events Cojoint Into One Exercises

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

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

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.

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

Two fair six-sided dice are rolled. Find 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 divisible by $4$ and the sum of the faces is divisible by $3$?

Two fair six-sided dice are rolled. Find the probability that one of the dice shows a 4 and the sum of the numbers shown is a prime number.

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

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

Two fair coins are tossed and one fair die is rolled.

Calculate the probability of obtaining exactly one head and a die result that is a multiple of 3.

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

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