25 books are placed at random on a shelf. The probability that a particular pair of books shall be always together is:
2/25
If we treat the particular pair of books as a single entity, then the number of possible arrangements of the 24 entities (23 books + the pair) is 24!. Within the pair, the books can be arranged in 2! ways. Therefore, the probability of this specific pair being together is 2/25.
Let A and B be two players who are playing the game to hit the target. The probabilities of hitting the target by A and B is 2/3 and ¾, respectively. What is the probability that exactly one of them hit the target?
If A and B are two events such that P(A∪B) = 3/4 P(A∩B)
Suppose a die is thrown four times and 5, 3, 5, 3 are obtained, respectively. Then the empirical probability of getting 5 is:
For any two events A and B in sample space S, which of the following options is NOT true?
If a biased coin is tossed 10 times, out of which head is obtained 3 times, then what is the probability of getting head on the 11th toss?
Find the probability that there may be 53 Sundays in a leap year.
On rolling of a die, the events E1 (getting an even number) and E2 (getting an odd number) are:
If a fair six-sided die is tossed twice and the tosses are independent, then the probability of getting a 5 on both tosses is:
Die I has 4 red and 2 white faces and die II has 2 red and 4 white faces. A coin is flipped once. If head appears, the game continues by flipping die I, and if tail appears, then die II is used. The probability of getting a red face at any throw is:
As the sample size increases, empirical probability:
Two dice are thrown simultaneously. What is the probability of getting the same number on both the dice?
The probability of being 53 Sundays in year 2020 is-
Three dice are thrown randomly. The probability of coming 3 in at least one die is
The probability of having 53 Tuesdays in an ordinary year is:
When two dice are tossed simultaneously, the probability that the sum of the numbers appearing on both the dice is 8 will be