Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1.

i posted this in class:P(event) = (# of ways to succeed)/(# of ways to succeed + # of ways to fail)

a)the probability of an event that cannot occur is 0

If it cannot occur the # of ways to succeed is zero

Then P(event) = 0/(# of ways to fail) = 0

b) the probability of an event that must occur is 1.

If it must occur the # of ways to fail is zero

Then P(event) = (# of ways to succeed)/(# of ways to succeed) = 1

but my teacher wants something more detail as an explanation.. Can you please help.. I do not know what she wants from me...

i posted this in class:P(event) = (# of ways to succeed)/(# of ways to succeed + # of ways to fail)

a)the probability of an event that cannot occur is 0

If it cannot occur the # of ways to succeed is zero

Then P(event) = 0/(# of ways to fail) = 0

b) the probability of an event that must occur is 1.

If it must occur the # of ways to fail is zero

Then P(event) = (# of ways to succeed)/(# of ways to succeed) = 1

but my teacher wants something more detail as an explanation.. Can you please help.. I do not know what she wants from me...

This question still have no answer summary yet.

Number of Elements in Event Space
P(Some Event) = -------------------------------------
Number of Elements in Sample Space

Here's one way you can think of probability: Probability is simply a fraction composed of the number of elements in the event space over the number of events in the sample space. Recall that the sample space is the set of ALL possible outcomes and the event space is the set of desirable outcomes.
In other words,
<pre>
Number of Elements in Event Space
P(Some Event) = -------------------------------------
Number of Elements in Sample Space
</pre>
note: the notation P(Some Event) is shorthand for saying "The probability of Some Event"
Now if there are NO elements in the event space, ie if the desirable event does NOT occur (not even once), then the numerator is equal to zero. This points to the entire probability equaling zero (which means that there's a 0% chance of it happening).
Or, if on the other hand that the number of elements in the event space equals the number of elements in the sample space, then no matter which element you choose, you will ALWAYS get what you desired. This means that the fraction will then equal 1 (which points to a 100% probability).
Note: you will rarely see probabilities of 0% and 100% simply because there are very few things that are certain. If life was certain, then why have probability at all?

Did this answer your question? If not, ask a new question.

- Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1
Explain in your own words, using the definition of probability why: a) the proba...

- Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1
Explain in your own words, using the definition of probability why: a) the proba...

- If the probability an event will occur is p and the probability it will not occur is q, then each term in the expansion of (p+q)^n represents a probability
If the probability an event will occur is p and the probability it will not occu...

- the odds in favor of an event are 10:1find the probability that the event will occur
the odds in favor of an event are 10:1find the probability that the event will o...

- Probability some event will occur
Probability some event will occur...

- If the probability of an event is 0.857, what is the probability that the event will not occur
If the probability of an event is 0.857, what is the probability that the event ...

- Find the P(notA), the probability that event A does not occur 1. P(A)=1/22. P(A)
Find the P(notA), the probability that event A does not occur 1. P(A)=1/22. P(A)...

- when you find the probability of an event happening by subtracting the probability of the event not happening from 1, we are usning
when you find the probability of an event happening by subtracting the probabili...

- If you were using the relative frequency of an event to estimate the probability of the event,...
If you were using the relative frequency of an event to estimate the probability...

- 1) Suppose the probability of an event is .4 and you win $100 if that event occurs and lose $80...
1) Suppose the probability of an event is .4 and you win $100 if that event occu...