onsider rolling a fair 8 sided die. The sample space is S = {1, 2, 3, 4, 5, 6, 7, 8} Find the following probabilities: Round to 3 decimal places. a. P(2) =
b. P(odd number) =
c. P(not 7) =
d. P(less than 6) =
e. P(3.5) =
Sol)
Given
Sample space
S = { 1,2,3,4,5,6,7,8 }
Probability = favorable outcomes / total outcomes
Total outcomes = 8
a)
P( 2 ) =
There is only one 2 in the sample space
P( 2 ) = 1 / 8
=0.125
b)
P( odd number )
Odd numbers in sample space = ( 1,3,5,7 )
P( odd number ) = 4 / 8
= 0.5
c)
P( not 7 )
The numbers rather than 7 in sample space are
{ 1,2,3,4,5,6,8 }
P( not 7 ) = 7/8
= 0.875
d)
P( less than 6 )
The numbers less than 6 in sample space are
{ 1,2,3,4,5 }
P( less than 6 ) = 5/8
= 0.625
e)
P( 3.5 )
There is no number like 3.5 in the sample space
So probability
P( 3.5 ) = 0 / 8
= 0
onsider rolling a fair 8 sided die. The sample space is S = {1, 2, 3,...
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Consider rolling a fair 8 sided die. The sample space is S = {1, 2, 3, 4, 5, 6, 7, 8} Find the following probabilities: Round to 3 decimal places. a. P(2) b. Plodd number) = c. P(not 7) = d. P(less than 6) = e. P(3.5) -
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