0
If 50 people are chosen at random what is the probability that at least two of them have their birthday on the same day?
Wiki User
∙ 14y ago
There being 365 days in a year and 50 being less than 365 therefore 2 even far less than that the chances are virtually 0.
______________________
Assume that all 366 days (including leap day) are equally likely to be a person's birthday. The probability that none of them share a birthday is 1*P(second person selected doesn't share a birthday with first person selected)*P(third person selected doesn't share a birthday with first or second person selected)*...*P(fiftieth person selected doesn't share a birthday with the first, second, third,...,forty-ninth person selected).
P(second person selected doesn't share a birthday with first person selected) = 365/366
P(third person selected doesn't share a birthday with first or second person selected)=364/366
.
.
.
P(fiftieth person selected doesn't share a birthday with the first, second, third,...,forty-ninth person selected)=317/366
P(none share a birthday)=(365/366)*(364/366)*...*(317/366), which is approximately .0299.
P(at least two share a birthday) = 1-(365/366)*(364/366)*...*(317/366)=1-.0299=.9701 = 97.01%.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What is the probability that two people selected at random have the same birthday?
1/365 = 0.00274
What are chosen at random from a standard deck of cards with replacement what is the probability of getting to aces?
"Playing cards" are chosen at random.
How do you find the probability of a random point being chosen in a shaded region in a circle?
The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.
What is the probability that an f2 seed chosen at random will be yellow?
3/4
If there are 45 students in a biology class and 23 are girls what is the probability that a student chosen at random will be a boy?
Probability that a girl is chosen = 23/45 = .511 So, the probability that a boy is chosen = 1 - .511 = .489
What is the probability that two people selected at random have the same birthday?
1/365 = 0.00274
What are chosen at random from a standard deck of cards with replacement what is the probability of getting to aces?
"Playing cards" are chosen at random.
How do you find the probability of a random point being chosen in a shaded region in a circle?
The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.
What is the probability that an f2 seed chosen at random will be yellow?
3/4
What is the probability of you and 2 complete random people sharing a birthday?
Birthdays are not uniformly distributed over the year. Also, if you were born on 29 February, for example, the probability would be much smaller. Ignoring these two factors, the probability is 0.0082
If there are 45 students in a biology class and 23 are girls what is the probability that a student chosen at random will be a boy?
Probability that a girl is chosen = 23/45 = .511 So, the probability that a boy is chosen = 1 - .511 = .489
What is probability of getting a vowel if a letter is chosen at random from the word Statistician?
Q. A letter is chosen at random from the word STATistician.What is the probability that it is a vowel?What is the probability that it is T.
There are 50000 people at a stadium watching a soccer match and 40000 of them are male If 3 people are chosen at random what is the probability that all 3 of them are male?
The probability is (4/5)3 = 64/125
If one letter is chosen at random from the word trustworthy what is the probability that the letter chosen is a consonant?
What the answer
What is the probability that the card chosen is a queen?
For a single random choice from a standard deck, the probability is 1/13.For a single random choice from a standard deck, the probability is 1/13.For a single random choice from a standard deck, the probability is 1/13.For a single random choice from a standard deck, the probability is 1/13.
What is the probability that the birthdays of five persons chosen at random will fall in twelve different calendar months?
The probability that the birthdays of five persons chosen at random will fall in twelve different calender months is zero. You would need at least twelve persons to have a non zero probability.
What is the probability that 25 people dont share the same birthday?
The probability that 25 random people don't ALL share the same birthday is: 1 - (1/365)**24, or about 0.999999999999999999999999999999999999999999999999999999999999968 However, I suspect you meant to ask "What is the probability that 25 random people all have different birthdays?" That is: 1 * (364/365) * (363/365) * (362/365) * ... * (342/365) * (341/365) = 0.4313 So about 43% of the time nobody will share a birthday, and 57% of the time, two or more people will share a birthday.
