a bag contains ticket which are numbered from 1 to 100 find the probability that a ticket number picked up at random (1) is a multiple of 7? (2) is not a multiple of 7?
Answers
1)14/100 =7/50 2) 86/100 =43/50
Given,
- A bag contains tickets which are numbered from 1 to 100.
To find,
The probability that a ticket number picked up at random
- is a multiple of 7
- is not a multiple of 7
Solution,
A bag contains tickets that are numbered from 1 to 100, then the probability that it is a multiple of 7 is 7/50 and is not a multiple of 7 is 43/50.
Total number of tickets in a bag = 100
Number of tickets that are multiple of 7 = {7,14,21,28,35,42,49,56,63,70,77,84,91,98}
Number of favorable cases = 14
Probability = favorable cases / Total number of cases
P( is a multiple of 7 ) = 14/100
= 7/50
P( not a multiple of 7 ) = 1- P( is a multiple of 7)
= 1-7/50
= 43/50
Hence, a bag contains tickets that are numbered from 1 to 100, then the probability that it is a multiple of 7 is 7/50 and is not a multiple of 7 is 43/50.