$A$ bag contains $3$ red and $7$ black balls. Two balls are taken out at random,without replacement. If the first ball is red,what is the probability that the second ball is also red?

  • A
    $\frac{1}{10}$
  • B
    $\frac{1}{15}$
  • C
    $\frac{3}{10}$
  • D
    $\frac{2}{9}$

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$1$ bag contains $4$ white and $2$ black balls. Another bag contains $3$ white and $5$ black balls. If $1$ ball is drawn from each bag,find the probability that both balls are white.

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