Probability of exactly r successes in n binomial trials
This type of question, asked 10 times: May 2021 S1, 11 May 2023 S1, 22 Apr 2025 S2, 25 Apr 2025 S1, 25 Apr 2025 S2, 26 Apr 2025 S1, 15 Apr 2026 S1, 20 Apr 2026 S2, 13 May 2026 S2, 15 May 2026 S2. All 10 questions below, oldest first.
Try each one first, then open its answer.
Question 1
May 2021 S1
146A box contains 100 bulbs, out of which 10 are defective. A sample of 5 bulbs is drawn. The probability that none is defective isTap an option to check your answer.
Question 2
11 May 2023 S1
149The probability that a person who undergoes a bypass surgery will recover is 0.6. The probability that of the six patients who undergo similar operations, half of them will recover isTap an option to check your answer.
Question 3
22 Apr 2025 S2
145In a box containing 100 apples, 10 are defective. The probability that in a sample of 6 apples, 3 are defective isTap an option to check your answer.
Question 4
25 Apr 2025 S1
135A pair of fair dice is thrown 4 times. If getting the same number on both dice is considered as a success, then the probability of two successes areTap an option to check your answer.
Question 5
25 Apr 2025 S2
112The probability that a student is not a swimmer is . The probability that out of 5 students selected at random 4 are swimmers isTap an option to check your answer.
Question 6
26 Apr 2025 S1
102The probability that a person is not a sportsperson is . Then the probability that out of the 6 members of the family, 5 are sportspersons isTap an option to check your answer.
Question 7
15 Apr 2026 S1
98The centers for disease control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is . If people are given this vaccine, then the probability that exactly will develop immunity is...Tap an option to check your answer.
Question 8
20 Apr 2026 S2
98Four cards are drawn successively with replacement from well shuffled deck of 52 cards, then the probability that only two cards are club cards is ...........Tap an option to check your answer.
Question 9
13 May 2026 S2
98Suppose that of all families own a mobile set. If families are interviewed at random, then the probability that families own a mobile set is..... (Given that )Tap an option to check your answer.
Question 10
15 May 2026 S2
98It is known that of certain articles manufactured are defective. What is the probability that in a random sample of such articles, are defective?Tap an option to check your answer.