A die is rolled 200 times and its outcomes are recorded as below: Outcomes:1,2,3,4,5,6 Frequency:25,35,40,28,42,30 Find the probability of getting: 1) an even prime 2) a multiple of 3
Answers
Given,
When a dice is rolled 200 times;
Frequency of occurrence of 1 = 25
Frequency of occurrence of 2 = 35
Frequency of occurrence of 3 = 40
Frequency of occurrence of 4 = 28
Frequency of occurrence of 5 = 42
Frequency of occurrence of 6 = 30
To find,
The probability of getting;
a) an even number
b) a multiple of 3
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 even number, that is 2, 4, and 6.
And, the total number of trials = 200
Now,
The probability of getting an even number
= P(getting an even number)
= {(frequency of occurrence of 2) + (frequency of occurrence of 4) + (frequency of occurrence of 6)} / (total number of trials)
= {35 + 28 + 30} / 200
= 93/200
=> P(getting an even number) = 0.465
Now,
The favorable event is the occurrence of a multiple of 3, that is 3 and 6.
And, the total number of trials = 200
Now,
The probability of getting a multiple of 3
= P(getting a multiple of 3)
= {(frequency of occurrence of 3) + (frequency of occurrence of 6)} / (total number of trials)
= {40 + 30} / 200
= 70/200
=> P(getting a multiple of 3) = 0.35
Hence, the probability of getting an even number is equal to 0.465 and the probability of getting a multiple of 3 is equal to 0.35.
Answer:
the answer is 0.35
Step-by-step explanation:
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