A mathematics class is composed of 15 freshmen 9 sophomores...

A mathematics class is composed of 15 freshmen, 9 sophomores, and 3 juniors. Three of the freshmen, two of the sophomores, and one junior receive A grades in the course. If a student is selected at random from the class, find the probability that the student is each of the following. (Enter your probabilities as fractions.) (a) an A student (b) an A freshman student (c) a sophomore

Transcript

00:01 Hello, friends, welcome.

00:03 We have a question here and in this question, it has given that 12 fishermen and six juniors, juniors and three fishermen are two sufferments and junior receive a grade of course.

00:26 So here we need to find the probability for the given events.

00:30 So let's start solving the question.

00:32 So here at the first step, there are total 12 fishermen.

00:36 Fishermen and six junior and ten supers and four and therefore the total will be equal to total will be equal to 28 students so the number of number of fishermen who got an a is equal to three and number of superspin who got an a are equal to two and similarly the number of juniors who got an a is equal to so the number of ways will be the number of ways by which student can select out of 28 students will be as c 28 8 comma 1 and this will be as 28 by 1 so the answer will be equal to 28 for this and here in part a we are going to select one sprint so the number of a which with 1 a grade will be selected 6 as there are total number of 6 sprints of there are 3 fishermen 2 sportsmen and 1 so the probability for this event probability is total possible outcomes are six and total possible outcomes are 28 and favorable outcomes are six so this will be equal to three by 40 and this will be the answer for the part a answer for part a will be equal to six by 28 which is three by 14 for this probability of event a so here we have our first answer and now let's find out the part b so in part b this is given here that total number of ways the number of ways in which fishermen students with student with student with student with grade a selected will be equal to because there are total three fishermen student and total number of student is 28 so favorable outcome and total number of outcomes so this will be equal to 3 by 28 this event for b will be equal to 3 by 28 so here we have our second answer for the question part b 3 by 28 so let's solve the c part now.

04:52 Into the c part, it is given that here the number of ways of this sportsman supermoor can be selected as the number of string are 10...

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