Probability questions
692 published questions with worked solutions.
- Five coins are tossed once. What is the probability of getting at most four tails?
- Three fair dice are thrown. What is the probability of getting a total greater than or equal to 15?
- The probability that a person hits a target is 0 5. What is the probability of at least one hit in 4 shots?
- During war one ship out of 5 was sunk on an average in making a certain voyage. What is the probability that exactly 3 out of 5...
- The completion of a construction job may be delayed due to strike. The probability of strike is 0 6. The probability that the...
- Let A and B be two independent events such that P( A )=0 7, P( B )=k, P(A B)=0 8. What is the value of k?
- A biased coin with the probability of getting head equal to 1 4 is tossed five times. What is the probability of getting tail in...
- A coin is biased so that heads comes up thrice as likely as tails. In four independent tosses of the coin, what is probability of...
- One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first...
- Three dice are thrown. What is the probability that each face shows only multiples of 3?
- What is the probability that the month of December has 5 Sundays?
- A natural number n is chosen from the first 50 natural numbers. What is the probability that n+ 50 n <50?
- Three dice are thrown. What is the probability of getting a sum which is a perfect square?
- A, B, C and D are mutually exclusive and exhaustive events. If 2P(A)=3P(B)=4P(C)=5P(D), then what is 77P(A) equal to?
- Two dice are thrown. What is the probability that difference of numbers on them is 2 or 3?
- The probability that a person recovers from a disease is 0.8. What is the probability that exactly 2 persons out of 5 will...
- Suppose that there is a chance for a newly constructed building to collapse, whether the design is faulty or not. The chance that...
- A fair coin is tossed 6 times. What is the probability of getting a result in the 6^ th toss which is different from those...
- In a class, there are n students including the students P and Q. What is the probability that P and Q sit together if seats are...
- In a Binomial distribution B(n, p), n=6 and 9P(X=4)=P(X=2). What is p equal to?
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