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11.7.33Question HelpConsider political discussion group consisting of Democrats 10 Republicans , ad Independents Suppose that two group members are randomly selecte...

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11.7.33Question HelpConsider political discussion group consisting of Democrats 10 Republicans , ad Independents Suppose that two group members are randomly selected, in succession, t0 attend political convention Find the probability of selecting Democrat and then Republican.(Type a integer or simplified fraction )

11.7.33 Question Help Consider political discussion group consisting of Democrats 10 Republicans , ad Independents Suppose that two group members are randomly selected, in succession, t0 attend political convention Find the probability of selecting Democrat and then Republican. (Type a integer or simplified fraction )



Answers

Find the probability of each event. Picking, at random, 5 Republicans from a group containing 8 Republicans and 10 Democrats

Choosing a chair piss in a community consists off one Democrats, six Republicans and seven independent. So if what's one Democrat suits, the job begins and all seven in attendance. Servant Independence Give us a ring. Toss some more space for for two. So I just that person posted in Sae's The Find The probability you think this industry it's probably that Business Day market. So from ability off G is important or Mendy's with guano are the whole town, which is what? Okay, so the sick end of days person is either Democrats or Republicans. So Billy D a. Off D or, uh, combination off the tool, which is one while suits a lot of force. You, which is seven or for two, which is one or two and person is not a Republican. So all of it from ability. Uh, not every public in is the wall tool. Ah d plus in and I saw it's one lasts Engine divined it by 14 because we are only taking out. So this is a jar for 10 signifier. That's for sale

This problem we're dealing with a conditional probability. We would like to find the probability when a person is a democrat, given that they favour an issue. So the probability of democrats, given that they favor using our definition of conditional probability, that's the rule. The probability that they are a democrat and they favorite over the probability that they favor. Mhm. And the probability that they are a Democrat and a favorite is 70%. And so Spain is the top. That's seven out of 10. Now, for the probability that they favorite, 40% of Republicans and 30% of Republicans favorite, Once that would be a four out of 10 Times three out of 10, six out of 10 are Democrats and seven out of 10 Democrats favor. So they're on the bottom, we have the expression that will give us the probability of favoring. And so this is going to give us seven out of 10 on top. And then on the bottom, the probability of favoring 27 out of 50 As we take seven out of 10/27 out of 50. Excuse me, a little problem here on the top, not just seven out of 10, but six out of 10 times seven out of 10, because we need them to be both a democrat and favorite. The probability of a democrat is 6/10, and so it's top here Is actually going to go to 21/56 over 10 times 7/10. And so we take 21/50 over 27/50. This gives us 7/9 and so our probability seven nights.

Okay, so we have the following information. And for port, they were asked, What is the probability that the person is a Democrat? So there's one Democrat out of our total, um, amounts of people. So that's five plus 1646 which is 12 to go. So that's one out of 12 report. Be were asked. Um, Paul Body, that's the person is either a Democrats or a Republican. So that's equal to the probability that they're Democrats. Plus the probability that they're Republican, minus the probability that they are both a Democrat and a Republican. So we don't have any Democrat and Republican members. So this probability is just people to go. So we get the probability of a Democrat, which is one out of 12 plus the probability of, ah, Republican, which is five out of 12. So that gives me six over its wall. Okay, No, for part, seeing grass there probability. That's the person is not a Republican, so that means they're either a Democrats or an independent store. That's 1/12 plus 6/12 which is equal to seven over 12

To find the probability of an event. We take the number of favorable outcomes and divided by the total number of outcomes. So in this problem, we're finding the probability that Noah randomly selects a beach campground instead of a, um, mountain campground. So the number of favorable outcomes would be six because there are six speech campgrounds and the total number of outcomes would be 18 because they're 18 campgrounds all together. So we can reduce this fraction and we get 1/3. And that's the probability that he will choose a beach campground and then we can convert it to a decimal, and we get 0.333 is the probability.


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