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OpenStudy (nali):
When a six-sided die (numbered 1 to 6 ) is tossed, what is the probability of getting a number N that satisfies 2N-1 less than 4?
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OpenStudy (nali):
the choices
1/6
1/3
1/2
2/3
5/6
jimthompson5910 (jim_thompson5910):
Solve 2N - 1 < 4 for N
What do you get?
OpenStudy (nali):
\[N < 5/2\]
jimthompson5910 (jim_thompson5910):
5/2 = 2.5
So N < 5/2 means that N < 2.5
We can take this further to also say N < 2 since N is an integer
jimthompson5910 (jim_thompson5910):
So what is the probability of rolling less than a 2?
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OpenStudy (nali):
2/6 which 1/3
oh ok thanks
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
less than 2 (not including 2)
OpenStudy (nali):
yeah 1 and 2 which 2/6
jimthompson5910 (jim_thompson5910):
don't include 2 though
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jimthompson5910 (jim_thompson5910):
2 is not less than 2
OpenStudy (nali):
look since N<2.5 then the solutions are 1 and 2 since s is smaller than 2.5
OpenStudy (nali):
i meant since 2 is less than 2.5
jimthompson5910 (jim_thompson5910):
oh wait, I jumped from N < 2.5 to N < 2 because I thought N was an integer
jimthompson5910 (jim_thompson5910):
N could be any real number
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jimthompson5910 (jim_thompson5910):
you got it then
OpenStudy (nali):
yeah so it is B
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (nali):
thanks
jimthompson5910 (jim_thompson5910):
you're welcome
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