Binomial probability of exactly or at least k successes with given n and p
This type of question, asked 5 times: 2021 Paper 17, 6 Apr 2023, 31 Jan 2024, 4 Apr 2024, 24 Jan 2026 S1. All 5 questions below, oldest first.
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Question 1
2021 Paper 17
66A student appeared in an examination consisting of 8 true-false type questions. The student guesses the answers with equal probability. The smallest value of , so that the probability of guessing at least ' ' correct answers is less than , is:Tap an option to check your answer.
Question 2
6 Apr 2023
62A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If the probability of at least 4 successes is , then is equal toTap an option to check your answer.
Question 3
31 Jan 2024
168A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times, then the probability of getting two tails and one head is-Tap an option to check your answer.
Question 4
4 Apr 2024
177In a tournament, a team plays 10 matches with probabilities of winning and losing each match as and respectively. Let be the number of matches that the team wins, and be the number of matches that team loses. If the probability is , then equalsQuestion 5
24 Jan 2026 S1
67From a lot containing 10 defective and 90 nondefective bulbs, 8 bulbs are selected one by one with replacement. Then the probability of getting at least 7 defective bulbs is :-Tap an option to check your answer.