Probability of at least one success (or none) in n binomial trials
This type of question, asked 8 times: 2 May 2023 S1, 3 May 2023 S1, 3 May 2023 S2, 15 Apr 2026 S2, 16 Apr 2026 S1, 18 Apr 2026 S2, 19 Apr 2026 S2, 14 May 2026 S1. All 8 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2 May 2023 S1
139Ten bulbs are drawn successively, with replacement, from a lot containing 10% defective bulbs, then the probability that there is at least one defective bulb, isTap an option to check your answer.
Question 2
3 May 2023 S1
144Two cards are drawn successively with replacement from a pack of 52 cards. Let X denote the number of jacks obtained. Then equalsTap an option to check your answer.
Question 3
3 May 2023 S2
115Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Let x denote the random variable of number of kings obtained in the two drawn cards. Then equalsTap an option to check your answer.
Question 4
15 Apr 2026 S2
100The probability that event A happens in a trial is 0.4. If three independent trials are made, then the probability that A happens at least once is.......Tap an option to check your answer.
Question 5
16 Apr 2026 S1
100Two dice are thrown successively 4 times and getting a doublet is called a success. The probability of getting at least 1 success isTap an option to check your answer.
Question 6
18 Apr 2026 S2
98A fair die is thrown 4 times. If getting a prime number on the die is considered as a success, then the probability of getting no success at all isTap an option to check your answer.
Question 7
19 Apr 2026 S2
97The probability that a bomb will hit the target is . Out of bombs dropped, probability that at least will miss the target is...Tap an option to check your answer.
Question 8
14 May 2026 S1
98The probability that a person hits a target is . If he fires shots at the target, then the probability that he hits the target at least once isTap an option to check your answer.