Find out the birthday (month and day but not year) of a randomly chosen person. What is the sample space of the experiment? How many outcomes are in the even that the person is born in July?

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Engineering

Lucky

9 December, 16:57

Find out the birthday (month and day but not year) of a randomly chosen person. What is the sample space of the experiment? How many outcomes are in the even that the person is born in July?

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Francis Singleton · Answer 1

The sample space will contain 365 entities of 365 days, comprising of 12 months.

The outcomes in the event that the person is born in July will be 31.

The probability of man to born in July, will then be:

P (July) = 31/365 = 0.0849 = 8.49 %

Explanation:

If the month and day of a person's birthday is to be found, then it must lie among 365 days or 12 months of the year.

Thus, the sample space will contain 365 entities of 365 days, comprising of 12 months.

Now, the outcomes in the event that the person is born in July will 31. Because there are 31 days in the month of July. So, out of 365 days of the year, on these 31 days only, its is possible for the person to be born in july.

The probability of man to born in July, will then be:

P (July) = 31/365 = 0.0849 = 8.49 %