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A pair of dice is thrown. If the two numbers appearing on them are different, find the probability (i) the sum of the numbers is 6(ii) the sum of the numbers is 4 or less (iii) the sum of the number is 4.
Mother, father and son line up at random for a family picture. Find P(A/B), if A and B are defined as follows:
A = Son on one end, B = Father in the middle
If each element of a second order determinant is either zero or one, what is the probability that the value of determinant is non-negative?
Two integers are selected at random from integers 1 to 11. If the sum is even, find the probability that both the numbers are odd.
A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the probability that the number 4 has appeared at least once?
A couple has two children. Find the probability that
(i) Both the children are boys, if it is known that the older child is a boy.
(ii) Both the children are girls, if it is known that the older child is girl.
(iii) Both the children are boys, if it is known that at least one of the children is a boy.
In a school, there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII given that the chosen student is a girl?
A bag contains 10 white and 15 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?