In a standard deck of playing cards, there are 52 total cards. Half of the cards are red and half of the cards are black. There are 4 aces to a deck, two of which are red aces. What is the probability that a randomly chosen card from a standard deck of playing cards will be a red card or an ace? Type answer as a fraction.

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv