Answer:
Step-by-step explanation:
-243 x -128
——————-
-27 x -32
31104/864
=36
The first answer, using a number line, is a good answer.
I have two other ways:
Way #1:
5 stones is more than 3 stones.
5 gallons is greater than 3 gallons.
5 pounds is greater than 3 pounds.
5 puppies is greater than 3 puppies.
5 hamburgers is greater than 2 hamburgers.
5 schoolbuses is greater than 3 schoolbuses.
We look around us, and we see that 5 of anything
is always greater than 3 of the same thing.
There's no reason that should change if the 'things' are eighths.
Way #2:
-- Get 2 friends to help you.
-- Take one good-size veggie pizza or coconut cream pie.
-- Carefully cut it up in eight (8) equal pieces.
Now each piece is 1/8 of the pie or the pizza.
-- Give 5 pieces (5/8) to the first friend.
Give 3 pieces (3/8) to the other friend.
-- Ask them to get together and agree on who has more.
49. From 3 coin tosses, there are 8 possible outcomes:
... TTT, TTH, THT, THH, HTT, HTH, HHT, HHH
All but the first have at least one head, so 7/8 of the possibilities have at least one head. That's 87.5% (not among your choices).
Likewise, all but the last listed outcome have at least one tail. The problem is symmetrical that way when the coin is fair. 87.5% of outcomes have at least one tail.
___
Perhaps you can tell I read your question as having two parts. If your question is the probability of getting at least one head AND at least one tail, you can see that condition includes 6 of the 8 outcomes, or 75%, matching selection d.
50. See for yourself: the calculator says 66.82%. Your best choice is selection d.