What is the probability of having $53$ Sundays in a non-leap year?

If $A$ and $B$ are events such that $P(A \cup B) = 3/4,$ $P(A \cap B) = 1/4,$ and $P(\bar{A}) = 2/3,$ then $P(\bar{A} \cap B)$ is

One card is drawn from a well-shuffled deck of $52$ cards. If each outcome is equally likely,calculate the probability that the card will be a diamond but not an ace.

$A$ man and his wife appear in an interview for two vacancies. The probability of the husband's selection is $1/7$ and the probability of the wife's selection is $1/5$. What is the probability that only one of them is selected?

What is the probability that a randomly selected leap year has $53$ Sundays or $53$ Mondays (in $/7$)?

$A$ die is thrown. Find the probability of the following event: $A$ number less than $6$ will appear.