Since the question is asking if at least two people have the same birthday, its complement implies that no two people have the same birthday, which is easier to find. Finding the probability of all 50 people having all different birthdays are as follows:Different birthdays probability equation....
Some- one wants to bet you $10 that there are two people with exactly the same birthday. Should you take the bet? To pose a mathematical problem, we ignore Feb. 29 which only comes in leap years and suppose the each person at the party picks their birthday at random from the calendar...
The probability of getting a pair of face cards is less than 5%. Homework Central: Aces in 4 piles, bad ICs, airline overbooking. Binomial distribution. Defective units in a sample of 200. Siblings with the same birthday. What are the odds in a family of 5? Covariance: A generic...
What is the probability of a person selected at random being a section head and having a degree? In jury trials, it is estimated that the jury will reach the correct decision (guilty or not guilty) 92% of the time. In 200 randomly selected jury trials, what is the proba...
Life is full of random events!You need to get a "feel" for them to be a smart and successful person.The toss of a coin, throwing dice and lottery draws are all examples of random events.There can be:Dependent Events: what happens depends on what happened before, such as taking cards ...
The expression is obtained by the following argument. The first person’s birthday can be chosen freely. The second person’s must not be chosen on the same day, so there are 364 possible choices. For the third, there remain 363 choices, and so on until finally, for then th person,...
which is pretty much the same answer.But back to the surprising result. Of all people who test positive, over 98% do not have the disease. If your guess for the probability a person who tests positive has the disease was wildly different from the right answer (2%), don’t feel b...
The reason is simply that if any of the above beliefs were wrong then the expert would not have said that the only information they could give was that a 2 [0:1; 1]. If any individual point could be singled out as having positive probability, the expert would have said so. If the ...
You can also use the counting method to arrive at the same result. There are 6 possible outcomes, and 2 of those satisfy the union of events A and B, so the probability of the union is 2/6. And this gives us our first rule: ...
otherwise it is said to be an infinite set. If S is a finite set then the number of different objects in S is called the order (or cardinality) of S and is denoted by D is an element of C. Two sets are said to be equal if they have precisely the same elements. . C=D Means...