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If p is the probability of the event happening (once), so that q = 1 - p is the probability of the event not happening (once), then the binomial theorem can be used:
(p + q)n = nC0 p0qn + nC1 p1qn-1 + ... + nCr prqn-r + ... + nCn-1 pn-1q1 + nCn pnq0
Where n is the number of trials and r is the number of successes required, and nCr is the number of combinations of r things from a set of n and is:
nCr = n!/(n-r)!r!
where n! is n factorial which is n x (n-1) x (n-2) x ... x 2 x 1. 0! is defined to be 1.
So assuming a normal, unbiased coin with p = pr(head) = 1/2 → q = pr(not_head) = 1 - 1/2 = 1/2, then the probability of getting (r =) 200 heads out of (n =) 1000 trials is:
nCr prqn-r = 1000C200 (1/2)200(1/2)800
= 1000!/(800! x 200!) (1/2)1000
What else can I help you with?
What is the Role of Independence in the topic of probabilities and is there an example of it?
There is a wonderful and brief explanation at the link. One thought: Without the concept of independence, the accurate probability that two events will occur together would be a problem. You need to know if the events are dependent on one another in some way. If I roll two fair dice, what is the probability that I will roll two sixes? I know that the events (the results I get from the two dice) are independent of one another. So the probability of their happening together is the product of the probabilities that they will happen independently.
How do you do probabilities?
Example of probability is if you have 10 blue gumballs 5 pink gumballs and 3 orange gumballs the answer is 10 because the more gumballs you have is the one you will pick without looking if you still dont understand please comment below,thanks for all questions:)
What is the probability of the following event P(3 and 3 and 3 and 2 and 2)?
To calculate the probability of the event P(3 and 3 and 3 and 2 and 2), we need to know the context, such as the total number of possible outcomes and whether the selections are independent. If we assume that these numbers represent outcomes from a finite sample space (like rolling dice or drawing from a deck), we would need the specific probabilities associated with drawing a 3 or a 2. Without this information, we cannot determine the exact probability of the event.
Why are the With Replacement and Without Replacement probabilities different?
Because with replacement, the total number of possible outcomes - the denominator of the probability ratio - remains the same. Without replacement the number of possible outcomes becomes smaller.
How can you calculate the square root of 1.8e-5 without a calculator?
How can you calculate the square root of 1.8E-5 without a calculator?
What is an example for an independent protist?
An example for the independent protist is that they can't live without the host.
Which distribution describes the probability of r occurrences in n trials of an event?
The answer depends on whether or not the events are independent, whether or not the probabilities are the same for each event etc. Without that information, there cannot be an answer.
What is the Role of Independence in the topic of probabilities and is there an example of it?
There is a wonderful and brief explanation at the link. One thought: Without the concept of independence, the accurate probability that two events will occur together would be a problem. You need to know if the events are dependent on one another in some way. If I roll two fair dice, what is the probability that I will roll two sixes? I know that the events (the results I get from the two dice) are independent of one another. So the probability of their happening together is the product of the probabilities that they will happen independently.
Which methods for decision making without probabilities best protect the decision maker?
The conservative approach
What do you need to qualify for student loans without cosigner?
Student loans are provided without consigner based on needs. For example if you are independent from your parents, you can qualify for student loans without cosigner.
What is the independent variable of a variable?
Just the number, for example: 7x the variable is 7. The variable is the number without the variable(x,y,z, etc.)
What probabilities are there to live when a person has a car accident and they hurt their large intestine?
90 percent because it is possible to live without your intestine.
Who was a man without a party?
an independent
How do you do probabilities?
Example of probability is if you have 10 blue gumballs 5 pink gumballs and 3 orange gumballs the answer is 10 because the more gumballs you have is the one you will pick without looking if you still dont understand please comment below,thanks for all questions:)
Who was first minister without portfolio of independent India?
Lal Bahadur Shastri was the first minister without portfolio of independent India.
Which is a comma splice?
A comma splice is when two independent clauses are joined by a comma without a proper conjunction or punctuation. For example: "I went to the store, I bought some bread."
What does the prefix in- mean in the word independent?
The prefix "in-" in the word independent means "not" or "without." In this case, independent means not depending on or influenced by others.
