MATH, HELP
posted by student
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!/[(36536)! 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
Respond to this Question
Similar Questions

math
the smallest number of people in a room where the probability of two of them having the same birthday is at least 50 percent. Answer is between 1 and 31. This is a classic problem given in probability classes. There are plenty of sites … 
math
the smallest number of people in a room where the probability of two of them having the same birthday is at least fifty percent Please post under one name. The smallest class where the chance of finding two people with the same birthday … 
math, help
I need help or hint on the setup: what is the probability that at least 2 students in a class of 36 have the same birthday? 
Statistics
Suppose 52 of the students in class have a calculator and 14 have a computer. It is known that 4 do not have either a computer or calc and there are 64 students in the class. Find the probability that a randomly chosen student has … 
math
1.If john served fruit punch in 8 ounce cups to a class on Monday. Mr. Roberts found tat there were 12 cups in the trash. Explain what is unknown. 2.John served fruit punch in 8 ounce cups to a class on Monday. Mr. Roberts saw that … 
math
1.If john served fruit punch in 8 ounce cups to a class on Monday. Mr. Roberts found tat there were 12 cups in the trash. Explain what is unknown. 2.John served fruit punch in 8 ounce cups to a class on Monday. Mr. Roberts saw that … 
Math Probability
A math class has 20 students who choose a topic from a list for an essay. How big pool is necessary for the probability of at least one duplicate to drop below fifty percent? 
probability
What is the probability that 2 out of 8 students will have the same birthday? 
Math  Data Management
What is the probability that there are at least two people with the same birthday in a class of 40 students? 
math (check answer)
You want to know the number of students in your school that have a January birthday. You survey the students in your math class. Three students have a January birthday, and 32 do not. So, you conclude that about 8.6% of the students …