Probability questions
692 published questions with worked solutions.
- Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then probability distribution of number...
- An irregular six faced die is thrown and the probability that, in 5 throws it will give 3 even numbers is twice the probability...
- A box contains 100 tickets numbers 1 to 100. A ticket is drawn at random from the box. Then the probability, that number on the...
- An experiment succeeds twice as often as it fails. Then the probability, that in the next 6 trials there will be atleast 4...
- Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then the probability distribution of...
- A and B are independent events with P(A)= 1 4 and P(A B)=2P(B)-P(A), then P(B) is
- A certain disease has a prevalence of 1% in the population. A diagnostic test for the disease has a sensitivity of 98% and a...
- It is known that a box of 8 batteries contains 3 defective pieces and a person randomly selects 2 batteries from this box. Then...
- Let X B (6, 12 ). Then the maximum probability occurs at
- A random variable X takes the values 0, 1, 2, 3 and its mean is 1.3. If P(X=3)=2P(X=1) and P(X=2)=0.3, then P(X=0) is
- A random variable X has the following probability distribution X=x: 1, 2, 3, 4, 5, 6, 7, 8 P(X=x): 0.15, 0.23, 0.10, 0.12, 0.20,...
- The odds in favour of A winning a game of table tennis against B are 1:2. If 3 games are to be played, then the probability of A...
- A random variable X has the probability distribution X=x: 1, 2, 3, 4, 5, 6, 7, 8 P(X=x): 0.15, 0.23, 0.12, 0.20, 0.08, 0.10,...
- Two dice are rolled. If both dice have six faces numbered 1, 2, 3, 5, 7, 11, then the probability that the sum of the sum of the...
- If the sum of the mean and the variance of a Binominal distribution for 5 trials is 1.8, then the value of p is
- A random variable X has the following probability distribution X = x: 0, 1, 2 P(X = x): 4k - 10k^2, 5k - 1, 3k^3 Then P(X < 2) is
- Let X be random variable having Binomial distribution B (7, p). If P [X = 3] = 5 P [X = 4], then variance of X is
- A fair die with numbers 1 to 6 on their faces is thrown. Let X denote the number of factors of the number, on the uppermost face,...
- There are 6 positive and 8 negative numbers. From these four numbers are chosen at random and multiplied. Then the probability,...
- Two cards are drawn successively with replacement from well shuffled pack of 52 cards, then the probability distribution of...
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