$A$ box contains $10$ good articles and $6$ with defects. One article is chosen at random. What is the probability that it is either good or has a defect?

Two dice are thrown together. If the numbers appearing on the two dice are different,then what is the probability that the sum is $6$?

$2$ dice are thrown. Find the probability of getting an odd number on $1$ die and a multiple of $3$ on the other.

Three fair coins are tossed. If both heads and tails appear,then the probability that exactly one head appears is:

$A$ basket contains $5$ apples and $7$ oranges,and another basket contains $4$ apples and $8$ oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges.

$A$ pack of cards contains $4$ aces,$4$ kings,$4$ queens,and $4$ jacks. Two cards are drawn at random. The probability that at least one of these is an ace is: