0. You have a cube of 10 Faces where Probability for outcome as 3 is 3/10 and probability for Outcome 1, 5, 7, 9 No. are 1/20, 1/10, 1/10, 2/20 respectively, if the cube has All Printed Numbers less than 10 then find Probability of Getting an even No. on Cube?
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Answer:
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Given : a cube of 10 Faces where Probability for outcome as 3 is 3/10 and probability for Outcome 1, 5, 7, 9 No. are 1/20, 1/10, 1/10, 2/20 respectively, if the cube has All Printed Numbers less than 10 then
To find : Probability of Getting an even No. on Cube
Solution:
Odd numbers less than 10 are 1 , 3 , 5 , 7 , 9
P ( even number ) = 1 - P ( odd number )
=> P ( even number ) = 1 - P ( 1 , 3 , 5 , 7 , 9 )
= 1 - { P(1) + P(3) + P(5) + P(7) + P(9) }
= 1 - { 1/20 + 3/10 + 1/10 + 1/10 + 2/20 }
= 1 - ( 1 + 6 + 2 + 2 + 2 )/20
= 1 - 13/20
= (20 - 13) /20
= 7/20
= 0.35
Probability of Getting an even No. on Cube = 0.35
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