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Question 13Giving test to group of students, the grades and gender are summarized below. Round your answers to decimal places Grades and Gender Total Male Female To...

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Question 13Giving test to group of students, the grades and gender are summarized below. Round your answers to decimal places Grades and Gender Total Male Female TotalIf one student Is chosen at random,Find the probability that the student gotFind the probabillty that thc student was male AND gotFind the probability that the student was (emale OR got &I one student chosen at random_ (ind the probability that the student got an 'B' GIVEN they are male:Check Answer

Question 13 Giving test to group of students, the grades and gender are summarized below. Round your answers to decimal places Grades and Gender Total Male Female Total If one student Is chosen at random, Find the probability that the student got Find the probabillty that thc student was male AND got Find the probability that the student was (emale OR got & I one student chosen at random_ (ind the probability that the student got an 'B' GIVEN they are male: Check Answer



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A large school has the following numbers categorized by class and gender: $$\begin{array}{|l|c|c|c|c|c|} \hline \multirow{2}{*}\begin{array}{l} \text { Grade } \\ \text { Gender } \end{array} & \text { Grade 9 } & \text { Grade 10 } & \text { Grade 11 } & \text { Grade 12 } & \text { Total } \\ \hline \text { Male } & 180 & 170 & 230 & 220 & 800 \\ \hline \text { Female } & 200 & 130 & 190 & 180 & 700 \\ \hline \end{array}$$ a) What is the probability that a student chosen at random will be a female? b) What is the probability that a student chosen at random is a male grade 12 student? c) What is the probability that a female student chosen at random is a grade 12 student? d) What is the probability that a student chosen at random is a grade 12 or female student? e) What is the probability that a grade 12 student chosen at random is a male? f) Are gender and grade independent of each other? Explain.

All right. So huge. We're given the numbers there. 18 freshman, 10 of whom are male. 15 sophomores, eight of whom were milk and were asked the probability that you select a freshman or a few. So this we know it was gonna be equal probability of selecting freshman plus the probability you selected If you know, minus the probability you selected a freshman tonight, we just have to solve for the values, the probabilities looking freshman, it's going to be 18 out of 33. Probably give you selecting a few miles gonna be eat plus 7 15 about 33 and the probability of you selecting a freshman and the female divided by 33 since their freshman who are females. And this is gonna give you 25 about about 33 as your probability. Now, where it's about probably of you something sophomore for male, it's gonna equal probability sophomore plus probability. Now mine. It's probably soft. This is gonna equal. We'll probably use looking for sitting The probability of you selected a male Is Temple City really of use looking suffering and it now speak. These numbers are the same worked with these equations. So you're also going to get 25 about about 33

So in the question, it was stated in a certain college algebra class. There are 18 freshman and 15 sophomores, so a number of freshman it close to 18. A number of sophomores equals to 15. So among the freshman of the freshman, 10 are male. So male equals two and of mail on a close to 10 10 and number of female kills to a from the sofa of the sofa. Mars eight are male, so you know, male Hey, and a female is number seven. So in so in question, I was asked that if I don't normally select a guy, so the find out, I have to find out the probability of being him, his or her a freshman or in or female. So freshman are female. Being the product of being a freshman is total is 18 past 15. That's 15 equals to 33. Being a freshman is heard or 18 by 33 plus or being a female. One thing here the female belong to freshmen are already calculated in this probability. So we're gonna find out we're going to calculate the female part of the sophomores only here, which is seven now. The priority is 18 plus seven is close to 25 so the probability is 25 by 33. So in question be I was again asked that, uh, if again, if I choose randomly So the product of being a sophomore or male so probability of being a sophomore our mail would be the probability of being a sophomore is started. Three. About 15 by Terry Trip as being a male. So the male is already counted here. So there is again the territory by 10, 10 by 33. So again the result is 25 by territory is the president and

In a pre calculus class, there are 18 freshman Mhm and 15 sophomores. of the 18 freshman, 10 are male and they are female, And of the 15 sophomores, eight are male And seven are female. The probability that a randomly selected student is a freshman or female is 18 plus seven Over 18 plus 15, Which equals 25 over 33. Yeah, And the probability that a randomly selected student is a sophomore or mail is 15 plus 10 Over 15 plus 18, Which equals 25/33.

Okay, so it's a right out given information that we're told. We're told that will write f for freshmen and s for sophomore or told that there's 18 freshman in 15 sophomore and we'll write M for male. Out of of the 18 freshman, 10 out of 18 are males, and out of the 15 sophomores, eight out of 15 are males. And now the question for part A is. What's the probability that we have a freshman or a female? So in total, there's denominator of 33 33 possible options, adding up the number of freshman and sophomore and 18 of them could be freshmen. That's including male and female. And now we just need to find the number of females that are sophomore. And that would be 15 minus eight. That seven. So seven plus 18 It is your answer for port A. Because you're adding in all freshmen and then just saw floors that are female. And now, for be for question, be were asked to find the probability that we get a sophomore or a male, as opposed to a freshman or a female. So again, we know the denominators 33 and the number off sophomores is 15 and the number of males that are freshmen is 10. So simply by coincidence you're going to get the same answer. But of course, it's for different reasons, and that is how you do this.


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