The event $A$ is independent of itself if and only if $P(A) = $
$0$
$1$
$0, 1$
None of these
A bag contains $3$ white, $3$ black and $2$ red balls. One by one three balls are drawn without replacing them. The probability that the third ball is red, is
A coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows $6$ is
The probability of getting a total of $5$ or $6$ in a single throw of $2$ dice is
A bag contains $19$ tickets numbered from $1$ to $19$. A ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets will show even number, is
A die is thrown. Describe the following events : $A$ : a number less than $7.$ , $B:$ a number greater than $7.$ , $C$ : a multiple of $3.$ Find the $B \cup C$