A man and his wife appear for an interview for two posts. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's selection is $\frac{1}{5}$. What is the probability that only one of them will be selected

  • A

    $\frac{1}{7}$

  • B

    $\frac{2}{7}$

  • C

    $\frac{3}{7}$

  • D

    None of these

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Two dice are thrown. The events $A, B$ and $C$ are as follows:

$A:$ getting an even number on the first die.

$B:$ getting an odd number on the first die.

$C:$ getting the sum of the numbers on the dice $\leq 5$

Describe the events $B$ or $C$

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Three identical dice are rolled. The probability that same number will appear on each of them will be

  • [IIT 1984]

In each of the following experiments specify appropriate sample space A boy has a $1$ rupee coin, a $2$ rupee coin and a $5$ rupee coin in his pocket. He takes out two coins out of his pocket, one after the other.