$A$ lot consists of $12$ good pencils,$6$ with minor defects,and $2$ with major defects. $A$ pencil is chosen at random. The probability that this pencil is not defective is

$A$ bag contains $13$ red,$14$ green,and $15$ black balls. The probability of getting exactly $2$ black balls when pulling out $4$ balls is ${P_1}$. Now,the number of balls of each color is doubled,and $8$ balls are pulled out. The probability of getting exactly $4$ black balls is ${P_2}$. Then:

$2$ dice are thrown. Find the odds against getting the sum $6$.

$A$ speaks truth in $60$ percent of cases and $B$ speaks truth in $70$ percent of cases. The probability that they will say the same thing while describing a single event is

Find the chance of throwing $6$ at least once in six throws with a single die.

The letters of the word $ASSASSIN$ are written down at random in a row. The probability that no two $S$ occur together is