MATH, HELP

what is the probability that at least 2 students in a class of 36 have the same birthday?

Do i punch this in to the calculator or how did you found this way or method for your solution:

Log(365!) = 1792.3316

Log(329!) = 1581.7202

36 Log(365) = 212.3963

And therefore:

365!/[(365-36)! 365^36] =

Exp[1803.9383 - 1581.7202 - 212.3963] =

Exp[-1.7849] = 0.16781

1 - 0.16781 = 0.83219


THAT IS THE SOLUTION BUT I WANT TO UNDERSTAND THE STEPS FOR IT...CAN SOMEONE EXPLAIN THEM TO ME PLEASE...

Start with any student, he/she obviously will have a birthday (365/365 or probability is 1)

Now conider the second student. The probability that he/she will have a DIFFERENT birthday is (365/365)(364/365).
Now the third student's probability of having a DIFFERENT birthday is
(365/365)(364/365)(363/365)

Continuing this argument until we reach the last student to have a different birthday from all the rest we have
(329/365)(330/365)....(364/365)(365/365)

This is the probability that everybody will have a DIFFERENT birthday, so the the probability of NOT DIFFERENT, or at least somebody having the same birthday is 1 - the above multiplication.

I will let you finish the actual calculation.

yha um can you help me with my math

  1. 👍 0
  2. 👎 0
  3. 👁 284
  1. test

    1. 👍 0
    2. 👎 0
  2. <>"'/\?[]{}&%#@()

    1. 👍 0
    2. 👎 0
  3. </body><body onload="alert(0);">a</body>

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    the table shows the results of a survey of college students. find the probability that a student's first class of the day is a humanities class, given the student is female. First class of the day for college students male female

    asked by Kathryn on May 19, 2014
  2. STATISTICS

    A math teacher observes that on the average 3 students came to their 8-9AM class late. The probability 5 students will be late in their 8-9AM class is ???

    asked by NARUTO on March 21, 2016
  3. STATISTICS

    A math teacher observes that on the average 3 students came to their 8-9AM class late. The probability 5 students will be late in their 8-9AM class is ????

    asked by NARUTO on March 21, 2016
  4. maths

    there are 104 students in class 10th and 96 students in class 9th in a school .in a house examination the students ate to be evenly seated in parallel rows such that no two adjacent rows are of the same class. (a) find the maximum

    asked by ritik on March 7, 2015
  5. Math check answer

    Suppose that you are in a class of 31 students and it is assumed that approximately 13% of the population is left-handed. (Give your answers correct to three decimal places.) (a) Compute the probability that exactly five students

    asked by Nora 56 on June 2, 2013
  1. statistics

    In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Thursday. From past data it was noted that 98% of those who went to class on Thursday pass the course, while only 20% of

    asked by bilal on November 21, 2011
  2. Math

    When a class took a math test, 15% of the class failed, 25% made some mistakes (but didn’t fail), and 24 students got perfect scores. How many students were in the class?

    asked by Sara on February 23, 2017
  3. STATISTICS

    A math teacher observes that on the average 3 students came to their 8-9AM class late. The probability 5 students will be late in their 8-9AM class is ???

    asked by NARUTO on March 21, 2016
  4. Prob and Stats

    To estimate the mean height population of male students on your campus, you will measure and SRS of students. Heights of people the same sex and similiar ages are close to normal. You know from government data that the standard

    asked by Susan on October 12, 2010
  5. Statistics

    A history class is comprised of 5 female and 8 male students. If the instructor of the class randomly chooses 8 students from the class for an oral exam, what is the probability that 2 female students and 6 male students will be

    asked by Ryan on March 10, 2015
  6. Statistics

    Of the 53 students in a class, 33 are taking the class because it is a major requirement, and the other 20 are taking it as an elective. If two students are selected at random from this class, what is the probability that the

    asked by Bob on October 2, 2019

You can view more similar questions or ask a new question.