HELP PLEASE. I WILL GIVE MEDAL.

Question

anonymous · Answer

Annie Xenas each arrive at a party at a random time between 2:00 and 4:00. Each stays for 45 minutes and then leaves. What is the probability that Annie and Xenas see each other at the party?

amistre64 · Answer

would it be simpler to determine the complement?  find the number of ways that they can miss each other and subtract it from 1

anonymous · Answer

I tried that but it has failed me. I think the best way to do it is to use geometry in probability.

amistre64 · Answer

45 out of 120 ... seems to be the window for missing
so 1 - 45/120

anonymous · Answer

let me check...

anonymous · Answer

nope. It marked it wrong

amistre64 · Answer

hmm, what did you input?

anonymous · Answer

75/120

amistre64 · Answer

i dunno how complicated we could make this :)  wouldnt know how to apply a poisson to it or if that would be applicable

amistre64 · Answer

did you try .625?  not sure what they are expecting as an answer format

anonymous · Answer

no it's okay even if i put it in as a fraction. I went ahead and gave up on the question. The answer was 39/64

anonymous · Answer

this is the reasoning http://data.artofproblemsolving.com/aops20/latex/images/2a8fa04d37030a638d5cb636dba7ec53b5de99b6.png

amistre64 · Answer

hmmm, .625 was close then :)

anonymous · Answer

thanks for the help. really appreciate it.

amistre64 · Answer

interesting approach to a solution ..... i never would have even known how to have gone that route