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The standard answer for school work is 1/7. However, the reality may be slightly different since in parts of the world, particularly where induced hospital births are relatively common, it is claimed that births are brought forward so that medical staff can spend their weekend with their own families.
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What is the probability of being born on a Monday?
1 out of 7 I think so!
What is the probability of at least one birthday match among a group of 41 people?
The probability of at least 1 match is equivalent to 1 minus the probability of there being no matches. The first person's birthday can fall on any day without a match, so the probability of no matches in a group of 1 is 365/365 = 1. The second person's birthday must also fall on a free day, the probability of which is 364/365 The probability of the third person also falling on a free day is 363/365, which we must multiply by the probability of the second person's birthday being free as this must also happen. So for a group of 3 the probability of no clashes is (363*364)/(365*365). Continuing this way, the probability of no matches in a group of 41 is (365*364*363*...326*325)/36541 This can also be written 365!/(324!*36541) Which comes to 0.09685... Therefore the probability of at least one match is 1 - 0.09685 = 0.9032 So the probability of at least one match is roughly 90%
What is the probability of falling of a fan?
All I can say is that it isn't zero. :D.
What is the probability that no two people have the same birthday out of 55?
Leaving aside leap years, the probability is 0.0137
What is the probability of 2 or more people in a a group of about 30 having the same birthday?
The probability with 30 people is 0.7063 approx.
