How many people have to be in a room to have a 50% probability of at least two people having the same birthday? There are 23 people in this class. What is the probability that at least 2 of the people in the class share the same birthday?
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 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, ...
2. Only one person has a birthday on each of those three days Include a In a group of n people, (a) What is the probability that two or more persons will have the same birthday (month and date)? (b) What is the probability...
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 ...
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...
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...
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 ...
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: ...
The notion of "probability" has a dependency on the possible counting of purposive events (n) under study and the counting of the entire sample space (N). Likewise, probability is the rate of the defined events in all possible consequences of the random investigation....