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

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

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

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Question 1

Two fair six-sided dice are rolled.

Calculate the probability that the sum of the scores is 7 or the product of the scores is 12.

[5]

Question 2

Find the probability that the sum of two dice is divisible by 4 and the two faces are different.

[5]

Question 3

Calculate the probability that the product of two fair six-sided dice is 12.

[3]

Question 4

Two fair six-sided dice are thrown.

Find the probability that the number showing on the first die is greater than the number showing on the second die and the sum of the two numbers is 8.

[3]

Question 5

Find the probability that the sum of two fair dice is 7.

[2]

Question 6

Two fair six-sided dice are rolled.

Calculate the probability that both dice show prime numbers.

[3]

Question 7

Calculate the probability that the sum of two fair dice is a prime number.

[3]

Question 8

Two fair six-sided dice are thrown.

Calculate the probability that both dice show odd numbers and their product exceeds 10.

[3]

Question 9

What is the probability that the sum of two dice is even and the product is a multiple of 3?

[5]

Question 10

Find the probability that the sum is 9 and the product is a multiple of 6 when rolling two dice.

[3]

Question 11

Two fair dice are rolled. Find the probability that at least one die shows 6 and the sum is at least 10.

[3]

Question 12

What is the probability that the sum of two fair dice is even?

[3]