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

Question 1

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

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Question 2

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

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Question 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.

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Question 4

Basic probability problem involving independent events: a fair coin toss and a fair six-sided die roll.

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.

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Question 5

The question requires calculating the probability of a specific event occurring when two fair six-sided dice are rolled, specifically when the product of the outcomes is equal to a given value.

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

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Question 6

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 $3$ ?

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Question 7

Probability and sample spaces in discrete distributions.

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.

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Question 8

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

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Question 9

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

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Question 10

The question assesses the understanding of independent events and the calculation of probabilities for combined outcomes involving coins and dice.

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.

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Question 11

Probability of discrete events and sample spaces.

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

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Question 12

Probability and Statistics

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 $8$ .

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