$A$ speaks truth in $60$ percent of cases and $B$ speaks truth in $70$ percent of cases. The probability that they will say the same thing while describing a single event is

In a simultaneous toss of $2$ coins,find the probability of getting no tail.

Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals

The probabilities of winning the race by two athletes $A$ and $B$ are $\frac{1}{5}$ and $\frac{1}{4}$ respectively. The probability of winning by neither of them is:

$A$ card is drawn from a well-shuffled pack of $52$ cards. The probability of getting a queen of clubs or a king of hearts is:

$A$ bag $X$ contains $2$ white and $3$ black balls and another bag $Y$ contains $4$ white and $2$ black balls. One bag is selected at random and a ball is drawn from it. Then the probability for the ball chosen to be white is