I got the same answer as you did on the first one
the second one , however I got 13/18
Four player throw dices, the result can be listed
_ _ _ _ (each blank can be filled in with 1,2,3,4,5,6)
Let's consider the counter situation
the first blank can take value from 1 to 6 , ( choose 1 from 6)
Since the second blank must be different ,there only 5 choice ( choose 1 from 5)
and the number of arrangement that four players roll different number is 6x5x4x3
the probability of four players roll different number will be (6x5x4x3)/(6x6x6x6)
then , at least two ppl roll the same number will be 1- (6x5x4x3)/(6x6x6x6)
If the density of a matter is higher than it's entourage , there will be pressure , making it have the tendency of distributing its matter evenly . If a ballon placed in a void , I think it will explode.. And the universe's expand is pretty much the same..I guess.
Consider this , A quantity of water placed in a dam , and there are some solids objects floating a the in water(in not on) , when the dam breaks , the displacement of water in certain time is greater than those of the objects. Maybe the universe structure is like darkmatter as water and planets like the object floating in it.
If the universe is expanding, what happens when you get to the edge of it? And i dont see how it can be both infinite and expanding - because if it was expanding, there must be and edge that is expanding, but if it was infinite then there would be universe already beyond that edge. Does anyone understand what i mean?
Got a simply answer , the universe is infinite because it's expanding. Expandinginfinite.