00:02: Let's recall that the probability of an event occurring is equal to a fraction, with the numerator being the number of ways that the event can occur divided by the total number of possible outcomes. So, if we assume that we had a container that had these 10 marbles in it, it's got some red ones, some blue ones, some green ones, and we wanted to find the probability if we close our eyes and randomly chose one of the marbles, picking a red one, that probability would be the number of ways that you can successfully pick a red one, which is for because there are four that are red, out of the total number of marbles, which, as we said before, I was 10. So that would be four-tenths probability, or you could write that as two-fifths, or even as the decimal 0.4. If we were looking at the probability of getting a green marble, that would be 2, because there are two green, again out of 10, which would also be equivalent to one-fifth, or 0.2. 01:30: Now one thing you should notice about this is that the probability is going to always be a fraction and it's going to be most likely a proper fraction because there's no way that the number in the numerator could be larger than the number in the denominator, because the number in the denominator is the total number of possible outcomes. So, the number of outcomes that we're looking for has got to be that number or smaller. So for example, it was for 4 and it was 2 in the second example. 02:07: On the other hand, the probability can get small. So for example, if I leave this same situation that I have set up before, and I ask, what is the probability of pulling a yellow marble, well, the number of ways that can occur given the marbles that I have in my collection is 0. Zero out of 10 is 0. So, an event that has a probability of 0 is called impossible. That is, there's no way it can occur. On the other hand, again, using this same situation, if I just say what is the probability of getting a marble that is not purple, well, as you can see, any marble that I choose is going to be not purple, 'cause they're only red, blue, and green. So there would be 10 ways I could do that out of 10, which is 1, which means that this event is certain. 03:18: So, probabilities will always run between the number 1, which is going to mean absolutely certain, and the number 0, which means impossible. The closer it is to 1, the more likely it is to occur. So we saw a moment ago that the probability of blue is 0.4; the probability of green is 0,2. So, the probability of pulling a blue marble is twice that of pulling a green marble.

An event with a probability of 0 is called
Responses
A certain.certain.
B likely.likely.
C impossible.impossible.
Question 2
An event with a probability of 1 is called
Responses
A certain.certain.
B likely.likely.
C impossible.impossible.
Question 3
An even with a probability of 0.9 is best described as
Responses
A certain.certain.
B likely.likely.
C unlikely.

asked by tomdaya

2 months ago

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0

0

1 answer

Question 1: An event with a probability of 0 is called
Response: C. impossible.

Question 2: An event with a probability of 1 is called
Response: A. certain.

Question 3: An event with a probability of 0.9 is best described as
Response: B. likely.

answered by GPT-4o mini

0

0

Question

00:02: Let's recall that the probability of an event occurring is equal to a fraction, with the numerator being the number of ways that the event can occur divided by the total number of possible outcomes. So, if we assume that we had a container that had these 10 marbles in it, it's got some red ones, some blue ones, some green ones, and we wanted to find the probability if we close our eyes and randomly chose one of the marbles, picking a red one, that probability would be the number of ways that you can successfully pick a red one, which is for because there are four that are red, out of the total number of marbles, which, as we said before, I was 10. So that would be four-tenths probability, or you could write that as two-fifths, or even as the decimal 0.4. If we were looking at the probability of getting a green marble, that would be 2, because there are two green, again out of 10, which would also be equivalent to one-fifth, or 0.2. 01:30: Now one thing you should notice about this is that the probability is going to always be a fraction and it's going to be most likely a proper fraction because there's no way that the number in the numerator could be larger than the number in the denominator, because the number in the denominator is the total number of possible outcomes. So, the number of outcomes that we're looking for has got to be that number or smaller. So for example, it was for 4 and it was 2 in the second example. 02:07: On the other hand, the probability can get small. So for example, if I leave this same situation that I have set up before, and I ask, what is the probability of pulling a yellow marble, well, the number of ways that can occur given the marbles that I have in my collection is 0. Zero out of 10 is 0. So, an event that has a probability of 0 is called impossible. That is, there's no way it can occur. On the other hand, again, using this same situation, if I just say what is the probability of getting a marble that is not purple, well, as you can see, any marble that I choose is going to be not purple, 'cause they're only red, blue, and green. So there would be 10 ways I could do that out of 10, which is 1, which means that this event is certain. 03:18: So, probabilities will always run between the number 1, which is going to mean absolutely certain, and the number 0, which means impossible. The closer it is to 1, the more likely it is to occur. So we saw a moment ago that the probability of blue is 0.4; the probability of green is 0,2. So, the probability of pulling a blue marble is twice that of pulling a green marble.

An event with a probability of 0 is called
Responses
A certain.certain.
B likely.likely.
C impossible.impossible.
Question 2
An event with a probability of 1 is called
Responses
A certain.certain.
B likely.likely.
C impossible.impossible.
Question 3
An even with a probability of 0.9 is best described as
Responses
A certain.certain.
B likely.likely.
C unlikely.

1 answer

Question 1: An event with a probability of 0 is called
Response: C. impossible.

Question 2: An event with a probability of 1 is called
Response: A. certain.

Question 3: An event with a probability of 0.9 is best described as
Response: B. likely.

An event with a probability of 0 is called
Responses
A	certain.certain.
B	likely.likely.
C	impossible.impossible.
Question 2
An event with a probability of 1 is called
Responses
A	certain.certain.
B	likely.likely.
C	impossible.impossible.
Question 3
An even with a probability of 0.9 is best described as
Responses
A	certain.certain.
B	likely.likely.
C	unlikely.

GPT-4o mini · Answer

**Question 1:** An event with a probability of 0 is called **Response:** C. impossible. --- **Question 2:** An event with a probability of 1 is called **Response:** A. certain. --- **Question 3:** An event with a probability of 0.9 is best described as **Response:** B. likely.