Independent events: probability that exactly one or at least one happens
This type of question, asked 3 times: 3 Mar 2023 Tier II, 6 Mar 2023 Tier II, 18 Jan 2025 Tier II. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
3 Mar 2023 Tier II
27A speaks the truth 5 out of 7 times and B speaks truth 8 out of 9 times. What is the probability that they contradict each other in stating the same fact?Tap an option to check your answer.
Question 2
6 Mar 2023 Tier II
8The probabilities of solving a problem by three students A, B and C are , and , respectively. The probability that problem will be solved is:Tap an option to check your answer.
Question 3
18 Jan 2025 Tier II
7Let A and B be two players who are playing the game to hit the target. The probabilities of hitting the target by A and B is and , respectively. What is the probability that exactly one of them hit the target?Tap an option to check your answer.