If $P(A \cup B)=0.8$ and $P(A \cap B)=0.3$, then $P(A^C)+P(B^C)$ is equal to

$A$ box contains $6$ red marbles numbered from $1$ through $6$ and $4$ white marbles numbered $12$ through $15$. Find the probability that a marble drawn at random is white and odd-numbered.

Two numbers $x$ and $y$ are chosen at random from the set of integers $\{1, 2, 3, 4, \dots, 15\}$. The probability that the point $(x, y)$ lies on a line passing through $(0, 0)$ with a slope of $\frac{2}{3}$ is:

When a pair of six-faced fair dice are thrown, the probability that the sum of the numbers on the two dice is greater than $7$ is:

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three persons apply for the same house is

When a fair die is rolled once,what is the probability of getting $1$ or $6$ on the top face?