Probability of the Same Date of BirthTodennäköisyys samasta syntymäpäivästäPhysiology has become the sports section, which is calculated physical performance. The following example will place in this context, which is familiar to many. The money has lost in gaming and gambling. This, as a human being does not separate the likelihood of relativity. Two football teams are placed opposite to each other. Each team has 11 players, together this is 22 players. What is the probability that there are on the field two on the same day of the year born players? I suggest betting on a promise of profit ratio of 2:1 on the ground and I say to have two players born on the same day. As the year has 365 days, has the opposing side a small chance to lose the bet?
The fact of the birth of two days to hit the same day is 50.7%. This is because the calculation of the probability seeks human pairs, resulting in this case 253 different pairs. The first player can connect to anyone 22 players and the next player to the remaining 21 players, etc. The payoff is modest, but the chance of winning better than the opposite side has. The ratio of a 253 pair and 365 days gives an indication of the likelihood. When giving the impression to influence the decision, the result is false. In a real situation, many are likely to accept the bet. This illustrates the difficulty to distinguish between reality and perception.
CalculationThere are 11 players on each team. By default, the example has one substitute for the team, which in practice is three players. Total players are thus defining 24 and the probability that two people share a birthday at the same day; 364/365 = 0,997
363/365 = 0,995
" - "
342/365 = 0,937
By calculating the common fraction 24 times and multiplying by calculating the input, we get the probability of 27/50. The probability of winning the bet is then 54%. If you meet on the field 60 players at the prize-giving ceremony, it would be in practice, the probability of 1 that there are two players born on the same day. The probability that two people of thirty have the same birthday is 71%.
|