Two different digits are selected at random from the digits 1 through 9
If the sum is even, what is the probability that 3 is one of the digits selected?

Two different digits are selected at random from the digits 1 through 9 If the sum is odd, what is the probabililty that 3 is one of digits selected?

Two different digits are selected at random from the digits 1 through 9 If 3 is one of the digits selected, what is the probability that the sum is even?

Two different digits are selected at random from the digits 1 through 9 If 3 is one of the digits selected, what is the probability that the sum is odd?

Two integers are selected at random from integers 1 to 11 . If the sum is even, then find the probability that both the numbers are odd.

An instructor has a question bank consisting of 300 easy true/false questions, 200 difficult true/false questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, then what is the probability that it will be an easy question, given that it is a multiple choice questions?