On rolling of a die, the events E1 (getting an even number) and E2 (getting an odd number) are:
Mutually exclusive and exhaustive
Mutually Exclusive: Events cannot occur simultaneously.
Exhaustive: Events cover all possible outcomes.
E₁ and E₂ are:
- Mutually exclusive - A number cannot be both even and odd
- Exhaustive - All possible outcomes (1-6) are covered by either E₁ or E₂
Similar Questions
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.
25 books are placed at random on a shelf. The probability that a particular pair of books shall be always together is:
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:
'p' is the probability that a man aged x years will die in a year. A man aged x, A₁ will die in a year and will be the first to die.
Important Questions from Probability
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
How many 3 - digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
