1. Probability. The USI student council consists of 14 radicals and 11 socialists. A committee is formed by selecting 5 students at random. (a) Calculate the probability that there is at least one socialist in this committee. (b) Given that there is at least one socialist in this committee, then what is the probability that 3 of the committee members are socialists?

Q: A committee of two people needs to be chosen. There are two men and six women available to serve on…

A:

Q: Find the probability of obtaining exactly five purple jelly beans if they are selected with…

A: Let p be the probability of getting a purple jelly bean, then p = 20/(30+20) = 0.40 Let X denote the…

Q: A student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Given that, a student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans.…

Q: robability that both envelopes are red is

A:

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: Suppose a jar contains 6 blue, 3 green, and 2 red marbles. What is the probability of randomly…

A: total number of marbles in jar = 6+3+2 =1111 marbles = 6 blue + 3 green + 2 redselecting randomly 3…

Q: Consider a collection of envelopes consisting of 1 red envelope​, 2 blue envelopes​, 2 green…

A: Given,no.of red envelopes=1no.of blue envelopes=2no.of green envelopes=2no.of yellow…

Q: 4. A university is offering two courses, one in Statistics and the other in Mathematics. These…

A: Number of students=300  Number of students in Statistics=85 Number of students im Mathematics=65…

Q: A class consists of 18 boys and 16 girls. The teacher will randomly choose three students to be on a…

A: Given: Number of boys = 18 Number of girls = 16 Number of students chosen = 3

Q: 13. uppose a jar contains 8 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

A: There are 8+22 = 30 marbles all total. Now, 2 marbles can be selected from these 30 marbles in 302…

Q: A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at…

A: It is given that, A bag contains 10 red marbles, 10 white marbles, and 7 blue marbles and we draw 4…

Q: A boy has 10 red and 10 blue marbles. He only needed to take out 15. i. What is the probability of…

A: Given that, A boy has 10 red and 10 blue marbles. Old Set of Marbles Color Count of Marbles Red…

Q: A committee of three people is to be randomly selected from a group of 20 men and 17 women. What is…

A: Given data; men in group= 20 Women  in group  = 17 Therefore; Total people  in group  = 20 +17  = 37…