what is the probability that a card picked at random from a 52 card deck will be a club or a jack
There are 13 club cards and a jack in each of the other three suits, so the probability of picking a club or a jack is (13+3)/52 = 16/52
$${\frac{{\mathtt{16}}}{{\mathtt{52}}}} = {\frac{{\mathtt{4}}}{{\mathtt{13}}}} = {\mathtt{0.307\: \!692\: \!307\: \!692\: \!307\: \!7}}$$
(The above assumes it is ok to pick the jack of clubs. If you want the probability of picking a club or a jack, but not both at the same time then the probability reduces to 15/52.)
That depends on the club or the jack i believe.Like how many clubs and how many jacks are in there for example.
There are 13 club cards and a jack in each of the other three suits, so the probability of picking a club or a jack is (13+3)/52 = 16/52
$${\frac{{\mathtt{16}}}{{\mathtt{52}}}} = {\frac{{\mathtt{4}}}{{\mathtt{13}}}} = {\mathtt{0.307\: \!692\: \!307\: \!692\: \!307\: \!7}}$$
(The above assumes it is ok to pick the jack of clubs. If you want the probability of picking a club or a jack, but not both at the same time then the probability reduces to 15/52.)