Two unbiased dice are thrown. Then the probability that neither a doublet nor a total of $10$ will appear is

If $A, B$ and $C$ are mutually exclusive and exhaustive events of a random experiment such that $P(A) = \frac{2}{3} P(B)$ and $P(B) = 2 P(C)$,then $P(A \cup C) =$

In a college,$40 \%$ of students attend the Mathematics class,$30 \%$ of students attend the Physics class,and $20 \%$ of students attend both classes. If a student is chosen at random from the college,what is the probability that the chosen student attends only one class?

If there are $4$ red,$3$ pink,$5$ yellow,and $8$ white roses in a garden,what is the probability that a blind person touches a red or a white rose?

$A$ bag contains $3$ white,$2$ blue,and $5$ red balls. One ball is drawn at random from this bag. The probability that the ball drawn is not red is

There are four men and six women on the city council. If one council member is selected for a committee at random,what is the probability that the selected member is a woman (in $/5$)?