In a single throw of $3$ dice,find the probability of getting a total of at most $5$.

When two dice are thrown simultaneously,what is the probability that the sum of numbers appeared is an odd number?

In a race,the odds in favour of horses $A, B, C,$ and $D$ are $1:3, 1:4, 1:5,$ and $1:6,$ respectively. Find the probability that one of them wins the race.

Two numbers are selected at random from $1, 2, 3, \dots, 100$ and are multiplied. The probability, correct to two decimal places, that the product thus obtained is divisible by $3$ is:

If $P(A) = \frac{2}{3}$,$P(B) = \frac{4}{9}$ and $P(A \cap B) = \frac{14}{45}$,then find $P(A \cup B)$.

Study the given information carefully and answer the questions that follow: $A$ basket contains $4$ red,$5$ blue and $3$ green marbles. If $3$ marbles are picked at random,what is the probability that at least $1$ is blue?