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
The probability that two persons share the same birth date can be calculated using the concept of the birthday paradox. In a group of 23 people, there is a probability of approximately 50% that two individuals share the same birth date. This probability increases as the number of people in the group increases due to the increasing number of possible pairs to compare. The calculation involves considering the complementary probability of no one sharing a birthday and subtracting it from 1 to find the probability of at least one shared birthday.
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.
About a 12.8 percent chance. The math is actually very simple: q(n)= 1- (364/365)n Where "n" is the number of people present. It is worth noting that in a room of 50 people, there is a 97% chance that two of them share the same birthday.
4/11
1/365 = 0.00274
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
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.
To determine the probability of 15 random people all having the same birthday, consider each person one at a time. (This is for the non leap-year case.)The probability of any person having any birthday is 365 in 365, or 1.The probability of any other person having that same birthday is 1 in 365, or 0.00274.The probability, then, of 15 random people having the same birthday is the product of these probabilities, or 0.0027414 times 1, or 1.34x10-36.Note: This answer assumes also that the distribution of birthdays for a large group of people in uniformly random over the 365 days of the year. That is probably not actually true. There are several non-random points of conception, some of which are spring, Valentine's day, and Christmas, depending of culture and religion. That makes the point of birth, nine months later, also be non-uniform, so that can skew the results.
1-365/[(365-6)*365^6] = 1 Is this O.K ?
The probability that two persons share the same birth date can be calculated using the concept of the birthday paradox. In a group of 23 people, there is a probability of approximately 50% that two individuals share the same birth date. This probability increases as the number of people in the group increases due to the increasing number of possible pairs to compare. The calculation involves considering the complementary probability of no one sharing a birthday and subtracting it from 1 to find the probability of at least one shared birthday.
The probability is approx 0.0001043
If only one person is picked at random then the probability is 1/16 = 0.0625
The probability is approx 0.81
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.
The probability on a single random draw, from a normal deck of cards, is 1/52.The probability on a single random draw, from a normal deck of cards, is 1/52.The probability on a single random draw, from a normal deck of cards, is 1/52.The probability on a single random draw, from a normal deck of cards, is 1/52.
If a student is picked at random what is the probability that he/she received an A on his/her fina?