A bag $x$ contains $3$ white balls and $2$ black balls and another bag $y$ contains $2$ white balls and $4$ black balls. A bag and a ball out of it are picked at random. The probability that the ball is white, is
$3/5$
$7/15$
$1/2$
None of these
Three coins are tossed. Describe Three events which are mutually exclusive but not exhaustive.
The probability that a teacher will give an unannounced test during any class meeting is $1/5$. If a student is absent twice, then the probability that the student will miss at least one test is
Two dice are thrown simultaneously. What is the probability of obtaining sum of the numbers less than $11$
An experiment consists of recording boy-girl composition of families with $2$ children. What is the sample space if we are interested in the number of girls in the family?
Two dice are thrown together. If the numbers appearing on the two dice are different, then what is the probability that the sum is $6$