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Savita and Hamida are friends. What is the probability that both will have (1) the same birthday? (2) different birthdays? (ignoring a leap year)?
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Savita and Hamida are friends. What is the probability that both will ...
(1) Both of them can have their birthdays only in one of the seven days of a week. So, the probability that they have birthday on the same day is 1/7

(2) probability that they have birthday on different days = 1 - (probability that they have birthday on the same day) = 6/7
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Savita and Hamida are friends. What is the probability that both will ...
Problem: Find the probability that Savita and Hamida will have the same birthday and different birthdays.

Assumptions:
- We assume that there are 365 days in a year and all birthdays are equally likely.
- We ignore the possibility of a leap year.

Solution:

Same Birthday:
- To find the probability that Savita and Hamida will have the same birthday, we need to consider the number of favorable outcomes and the total number of possible outcomes.
- The favorable outcomes occur when both Savita and Hamida have the same birthday, i.e., there is only one specific day out of the 365 days.
- The total number of possible outcomes is 365 * 365 since each person can have a birthday on any of the 365 days.
- Therefore, the probability of having the same birthday is 1 / (365 * 365) ≈ 0.0000767 or 0.00767%.

Different Birthdays:
- To find the probability that Savita and Hamida will have different birthdays, we need to consider the number of favorable outcomes and the total number of possible outcomes.
- The favorable outcomes occur when Savita and Hamida have different birthdays, i.e., there are 365 * 364 different combinations.
- The total number of possible outcomes is still 365 * 365 since each person can have a birthday on any of the 365 days.
- Therefore, the probability of having different birthdays is (365 * 364) / (365 * 365) ≈ 0.99726 or 99.726%.

Conclusion:
- The probability that Savita and Hamida will have the same birthday is approximately 0.00767%.
- The probability that Savita and Hamida will have different birthdays is approximately 99.726%.
- These probabilities assume that all birthdays are equally likely and ignore the possibility of a leap year.
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Savita and Hamida are friends. What is the probability that both will have (1) the same birthday? (2) different birthdays? (ignoring a leap year)?
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Savita and Hamida are friends. What is the probability that both will have (1) the same birthday? (2) different birthdays? (ignoring a leap year)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Savita and Hamida are friends. What is the probability that both will have (1) the same birthday? (2) different birthdays? (ignoring a leap year)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Savita and Hamida are friends. What is the probability that both will have (1) the same birthday? (2) different birthdays? (ignoring a leap year)?.
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