.A dice is rolled number of times and its outcomes are recorded as below: Outcome : 1 2 3 4 5 6 Frequency : 35 45 50 38 53 29 Find the probability of getting an odd number
81/125
71/125
69/125
68/125
Answers
Step-by-step explanation:
total no. of outcome:250
total no. of outcomes of getting odd no.: 35+50+53=138
p(getting an odd no.)=138/250=69/125
Given,
When a dice is rolled;
Frequency of occurrence of 1 = 35
Frequency of occurrence of 2 = 45
Frequency of occurrence of 3 = 50
Frequency of occurrence of 4 = 38
Frequency of occurrence of 5 = 53
Frequency of occurrence of 6 = 29
To find,
The probability of getting an odd number.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
The probability of occurrence of a favorable event = P (favorable event)
= (Total number of occurrence of the favorable event) / (Total number of occurrence of all possible events)
= (Total number of occurrence of the favorable event) / (Total number of trials)
As per the given question;
The favorable event is the occurrence of an odd number, that is 1, 3 and 5.
And, the total number of trials = 250
Now,
The probability of getting an odd number
= P(getting an odd number)
= {(frequency of occurrence of 1) + (frequency of occurrence of 3) + (frequency of occurrence of 5)} / (total number of trials)
= { 35 + 50 + 53 } / 250
= 138/250
=> P(getting an odd number) = 0.552
Hence, the probability of getting an odd number is equal to 0.552.