Dice give the coefficients: probability that a system has a unique solution (or none)
This type of question, asked 3 times: 2021 Paper 19, 24 Jan 2023, 22 Jan 2026 S2. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2021 Paper 19
71Two fair dice are thrown. The numbers on them are taken as and , and a system of linear equationsis constructed. If is the probability that the system has a unique solution and is the probability that the system has no solution, then :Tap an option to check your answer.
Question 2
24 Jan 2023
66Let denote the number that turns up when a fair die is rolled. If the probability that the system of equationshas unique solution is , then the sum of value of and all possible values of isTap an option to check your answer.
Question 3
22 Jan 2026 S2
51Let n be the number obtained on rolling a fair die. If the probability that the system , , has a unique solution is , then the sum of k and all possible values of is :Tap an option to check your answer.