The odds in favour of A winning a game of table tennis against B are 1:2. If 3 games are to be played, then the probability of A winning at least two games out of the three is.....

A random variable X has the following probability distribution

$X = x$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
$P(X=x)$	$0.15$	$0.23$	$0.10$	$0.12$	$0.20$	$0.08$	$0.07$	$0.05$

For the events $E = \{X \text{ is a prime number}\}$, $F = \{X < 4\}$, $P(E \cup F)$ is

A random variable X takes the values 0, 1, 2, 3 and its mean is $1.3$. If $P(X=3) = 2P(X=1)$ and $P(X=2) = 0.3$, then $P(X=0)$ is

Let $X \sim B\left(6, \dfrac{1}{2}\right)$. Then the maximum probability occurs at