An unbiased die is thrown twice. Let the event A be "odd number on the first throw" and B the event "odd number on the second throw". Check the independence of the events A and B.

An unbiased die thrown twice. Let the event A be 'even number on the first throw' and B the event 'even no. on the second throw'. Check the independence of the events A and B.

Two dice are thrown together. Let A be the event getting 6 on the first die and B the event getting 2 on the second die. Are the events A and B independent?

A fair coin and an unbiased die are tossed. Let A be the event head appears on the coin and B be the event 3 on the die. Check whether A and B are independent events or not.

A coin is tossed thrice. Let the event E be the first throw results in a head and the event F be the last throw results in a tail. Find whether the events E and F are independent.

A die is thrown. If E is the event the number appearing is a multiple of 3' and F be the event the number appearing is even then

A die is thrown twice. What is the probability that at least one of the two throws comes up with the number 4?

A die is thrown once. F A is the event the number appearing is a multiple of 3 and B is the event the number appearing is even: Are the events A and B independent?

A fair die is thrown twice. Let (a, b) denote the outcome in which the first throw shows 'a' and the second throw shows 'b' . Let A and B be the following events : A={(a,b): a is even}, B={(a,b): b is even} Statement-1: If C={(a,b): a+b is odd}, then P(A cap B cap C)=(1)/(8) Statement-2: If D={(a,b): a+b is even}, then P(A cap B cap D// A cup B)=(1)/(3)

A dice is thrown once. If E is the event of getting a multiple of 3 and F is the event of getting an even number, then find whether E and F are independent or not?

A die is thrown three times. Events A and B are defined as follows: A : 4 on the third throw, B : 6 on the first and 5 on the second throw. Find the probability of A given that B has already occurred.