Probability questions
692 published questions with worked solutions.
- Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 – k), the probability that...
- Words with or without meaning are to be formed using all the letters of the word EXAMINATION. The probability that the letter M...
- The probability that two randomly selected subsets of the set 1, 2, 3, 4, 5 have exactly two elements in their intersection, is :
- An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the...
- Let B_i(i=1,2,3) be three independent events in a sample space. The probability that only B_1 occur is , only B_2 occurs is and...
- Let S= 1,2,3, ,2022 . Then the probability, that a randomly chosen number n from the set S such that HCF(n,2022)=1, is
- The probability that a randomly selected 2-digit number belongs to the set n N : (2^n-2) is a multiple of 3 is equal to
- A student appeared in a examination consisting of 8 true–false type question. The student guesses the answers with equal...
- Each of the persons A and B independently tosses three fair coins. The probability that both of them get the same number of heads...
- The probability distribution of random variable X is given by : X: 1,2,3,4,5; P(X): K,2K,2K,3K,K. Let p = P (1 < X < 4| X < 3)....
- An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The...
- In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are...
- Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element...
- When a missile is fired from a ship, the probability that it is intercepted is 1 3 and the probability that the missile hits the...
- Let x be a random variable such that the probability function of a distribution is given by P(X) = 0) 1 2 , P(X=j) = 1 3^j (j =...
- A fair coin is tossed n-times such that the probability of getting at least one head is at least 0.9. The minimum value of n...
- A fair die is tossed until six is obtained on it. Let X be the number of required tosses, then the conditional probability P(X...
- Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for which P(exactly one of A, B occurs)...
- A seven digit number is formed using digits 3,3,4,4,4,5,5. The probability, that number so formed is divisible by 2, is :
- A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to probability of getting 9 heads,...
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