$A$ single letter is selected at random from the word $PROBABILITY$. The probability that the selected letter is a vowel is

$2$ dice are thrown together. What is the probability that the sum of the numbers on $2$ faces is neither $9$ nor $11$?

$A$ box contains $15$ black and $20$ white balls. What is the probability that when $2$ balls are selected,both are white?

What is the probability of getting a sum $9$ from two throws of a dice?

$A$ box contains $4$ white pens and $2$ black pens. Another box contains $3$ white pens and $5$ black pens. If one pen is selected from each box,then the probability that both the pens are white is equal to

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 apply for the same house is