The deck consists of 4 jacks, 26 black cards, and 13 hearts.
There is only 1 way of drawing all 4 jacks:
.
There are
ways of drawing 4 black cards.
There are
ways of drawing 4 hearts.
There are
ways of drawing any 4 cards.
The probabilities are then
a.

b.

c.

The remainder is 5. To calculate this, first, divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66. Multiply 66 by 9 to get 594, and subtract this from 599 to get 5, the remainder.
You can do part a using The Pythagoras theorem:-
30^2 = x^2 + 24^2
x^2 = 30^2 - 14^2 = (30+24)(30-24) = 324
x = 18
Answer: you have to mutpy
Step-by-step explanation: