5. A die is thrown six times and the number on it is noted as given below:
Number en die : 1 2 3 4 5 6
Frequency
1 1 1 1 1
What is the probability that it is a prime number?
Answers
Answer:
prime number is 2 ,3,5
Step-by-step explanation:
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Given,
A die is thrown six times.
Frequency of occurrence of each number on the dice = 1
To find,
The probability that it is a prime 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 a prime number, that is 2, 3, and 5.
And, the total number of trials = 6
Now,
The probability of getting an odd number
= P(getting a prime number)
= {(frequency of occurrence of 2) + (frequency of occurrence of 3) + (frequency of occurrence of 5)} / (total number of trials)
= { 1 + 1 + 1 } / 6
= 3/6 = 1/2
=> P(getting an odd number) = 0.5
Hence, the probability of getting a prime number is equal to 0.5.