$A$ box contains $100$ tickets numbered $1$ to $100$. $A$ ticket is drawn at random from the box. Then the probability that the number on the ticket is a perfect square is

  • A
    $\frac{1}{10}$
  • B
    $\frac{3}{10}$
  • C
    $\frac{7}{100}$
  • D
    $\frac{9}{100}$

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$A$ box contains $6$ red marbles numbered from $1$ through $6$ and $4$ white marbles numbered $12$ through $15$. Find the probability that a marble drawn at random is white and odd-numbered.

Three groups of children $A$, $B$, and $C$ contain boys and girls as given below. Group $A$ contains $3$ girls and $1$ boy, group $B$ contains $2$ girls and $2$ boys, and group $C$ contains $3$ boys and $1$ girl. If $1$ child is selected at random from each group, what is the probability that the three children selected consist of $1$ girl and $2$ boys?

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