Two dice are thrown simultaneously. The probability of getting the sum $2$,$8$,or $12$ is

Two dice are thrown together. The probability that at least one will show its digit $6$ is

From $10,000$ lottery tickets numbered from $1$ to $10,000$,one ticket is drawn at random. What is the probability that the number marked on the drawn ticket is divisible by $20$?

Let $E_1, E_2, E_3$ be three arbitrary events of a sample space $S$. Which of the following statements is correct?

Three coins are tossed simultaneously. Consider the events $E$: 'three heads or three tails',$F$: 'at least two heads',and $G$: 'at most two heads'. Of the pairs $(E, F)$,$(E, G)$,and $(F, G)$,which are independent and which are dependent?

$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is a black card.