Independent events: probability exactly one or a given combination happens
This type of question, asked 7 times: 4 May 2023 S2, 9 May 2023 S2, 16 May 2023 S1, 16 May 2023 S2, 9 May 2024 S2, 22 Apr 2025 S2, 15 May 2026 S2. All 7 questions below, oldest first.
Try each one first, then open its answer.
Question 1
4 May 2023 S2
140A man and his wife appear for an interview for two posts. The probability of the husband's selection is and that of the wife's selection is . If they appear for the interview independently, then the probability that only one of them is selected, isTap an option to check your answer.
Question 2
9 May 2023 S2
122Four persons can hit a target correctly with probabilities and respectively. If all hit at the target independently, then the probability that the target would be hit, isTap an option to check your answer.
Question 3
16 May 2023 S1
135Three persons P, Q and R independently try to hit a target. If the probabilities of their hitting the target are and respectively, then the probability that the target is hit by P or Q but not by R, isTap an option to check your answer.
Question 4
16 May 2023 S2
144Two friends A and B apply for a job in the same company. The probabilities of A getting selected is and that of B is . Then the probability, that one of them is selected, isTap an option to check your answer.
Question 5
9 May 2024 S2
142A problem in statistics is given to three students A, B and C. Their probabilities of solving the problem are and respectively. If all of them try independently, then the probability that the problem is solved isTap an option to check your answer.
Question 6
22 Apr 2025 S2
143Three urns respectively contain 2 white and 3 black, 3 white and 2 black and 1 white and 4 black balls. If one ball is drawn from each urn, then the probability that the selection contains 1 black and 2 white balls isTap an option to check your answer.
Question 7
15 May 2026 S2
100A husband and wife appeared for an interview for two vacancies in an office. The probability of the husband's selection is and that of the wife's selection is , then the probability that exactly one of them is selected is...Tap an option to check your answer.