Question

19. & 20. Please help

Answer 1

Cool if badly worded question.  They're called dice.  "given than"?

P(sum of two dice is odd GIVEN one is 4)

Of the 36 pairs of dice rolls, eleven have one with a 4:

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(1,4),(2,4),(3,4),(5,4),(6,4)

Six of eleven have an odd sum;

Answer: 6/11

20.  

The sides of a 45/45/90 triangle are in ratio $1:1:\sqrt{2}$ so each side is

$s = 24/\sqrt{2}$

and the area is

$A = \frac 1 2 s^2 = \frac 1 2 (24^2/2) = 24^2/2^2 = 12^2 = 144$

Answer: 144