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Mathematics 18 Online
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?

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?

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

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

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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