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Puneet decides to attend some urgent mee...

Puneet decides to attend some urgent meeting on a particular day in the month of December 20XX. If 1st December 20XX falls on Saturday, then what is the probability that the day chosen by him to attend the meeting is a Saturday?

A

`(2)/(15)`

B

`(1)/(6)`

C

`(1)/(10)`

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the probability that Puneet chooses a Saturday to attend his meeting in December 20XX, we can follow these steps: ### Step 1: Determine the total number of days in December December has 31 days. ### Step 2: Identify the days of the week for December Since 1st December 20XX is a Saturday, we can list the days of the week for the entire month: - 1st December: Saturday - 2nd December: Sunday - 3rd December: Monday - 4th December: Tuesday - 5th December: Wednesday - 6th December: Thursday - 7th December: Friday - 8th December: Saturday - 9th December: Sunday - 10th December: Monday - 11th December: Tuesday - 12th December: Wednesday - 13th December: Thursday - 14th December: Friday - 15th December: Saturday - 16th December: Sunday - 17th December: Monday - 18th December: Tuesday - 19th December: Wednesday - 20th December: Thursday - 21st December: Friday - 22nd December: Saturday - 23rd December: Sunday - 24th December: Monday - 25th December: Tuesday - 26th December: Wednesday - 27th December: Thursday - 28th December: Friday - 29th December: Saturday - 30th December: Sunday - 31st December: Monday ### Step 3: Count the number of Saturdays in December From the list above, the Saturdays in December 20XX are: - 1st - 8th - 15th - 22nd - 29th This gives us a total of **5 Saturdays** in December. ### Step 4: Calculate the probability The probability of Puneet choosing a Saturday is given by the formula: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \] Here, the number of favorable outcomes (Saturdays) is 5, and the total outcomes (total days in December) is 31. Thus, the probability is: \[ \text{Probability} = \frac{5}{31} \] ### Final Answer The probability that the day chosen by Puneet to attend the meeting is a Saturday is \(\frac{5}{31}\). ---
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