A probability experiment is conducted in which the sample...

A probability experiment is conducted in which the sample space of the experiment is S ={6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}, event F = {6, 7, 8, 9, 10}, and event G = {10, 11, 12, 13}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. F or G = { } (Use a comma to separate answers as needed.) B. F or G = { }

Transcript

00:01 Hi, my name is david and i'm happy to help you with this question.

00:05 So you need your question here, so let me move it on the top a little.

00:10 Now we see that we are given the probability experiment and then we have given the sample space.

00:18 So let's try to draw the sample space here and then we have the two events, the event f and event g.

00:26 So in the i will go into draw the two circles.

00:29 And then it will be like this.

00:33 I will denote the blue one will be the f and the orange one will be the g.

00:39 On the event f we have the 6, 7, 8, 9, 10.

00:44 So i have the 6, 7, 8, 9 and the 10 i put here.

00:50 The reason why because the 10 also belongs to the g as well and she has a 10, 11, 12, and 13.

01:00 Besides that we also have so 6, we got it 7, 8, 9, 10, 11, 12, 13 already.

01:07 And we still have the orders here, so they will be outside the two circles.

01:13 So it will be the 14, 15, 16, and 17 outside here.

01:18 So this will be the way we draw called the venn diagram.

01:29 And now the question now first asks us to list the outcome in f or g.

01:37 F or g so it will equal to the list we're going to list everything now so first we have the on it inside the f we have the six seven eight nine ten now even though we see ten in a piece in g but we already listed here we go we're not going to please to list it twice so we just don't write twice here then we continue for the eleven twelve and thirteen because that inside the that's done for the first part.

02:10 Now the next part we have to find the probability of the f or g.

02:18 So remember the probability that it goes to the number inside the event and then divided by the total count...

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