A student opens his book and notes down the unit digit on the right hand page of his book He repeats
the process for 150 times. The following outcomes are recorded.
Digits 012 2 3 4 5 7 8 9
Frequency | 7 25 16 30 104 20 15 12
Based on the above information, find the probability of occurrence of:
(i) 1 or 4 as units digit.
(ii) At least 5 as the unit's digit.
Answers
Given : A student opens his book and notes down the unit digit on the right hand page of his book He repeats the process for 150 times.
The following outcomes are recorded.
Digits 0 1 2 3 4 5 6 7 8 9
Frequency | 7 25 16 30 10 4 11 20 15 12
To Find : probability of occurrence of:
(i) 1 or 4 as units digit.
(ii) At least 5 as the unit's digit.
Solution:
Total = 150
1 frequency 25
4 frequency 10
1 or 4 as unit digit = 25 + 10 = 35
Probability of occurrence of: 1 or 4 as units digit. = 35/150
= 7/30
At least 5 as the unit's digit.
5 , 6 , 7 , 8 , 9
4 + 11 + 20 + 15 + 12 = 62
Probability of occurrence of at least 5 as the unit's digit. = 62/150
= 31/75
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(ii) at least 5 as the units digit
a student opens his book and turn pages he repeats this process 150 times
(at least 5 as the units digit )
~ 5,6,7,8,9
~4+11+20+15+12= 62
62/150 = 31/75