There are 12 students in my class - 10 males and 2 females. a. If I pick a team of 5 students randomly to answer a difficult question, what is the probability that there is at least 1 female in my team? b. I have 1 difficult question per lecture. If I pick a student randomly to answer this difficult question in every lecture, what is the probability that I will pick a female at least once in my next 5 lectures? A student previously picked can be picked again.

There are 12 students in my class - 10 males and 2 females. a. If I pick a team of 5 students randomly to answer a difficult question, what is the probability that there is at least 1 female in my team? b. I have 1 difficult question per lecture. If I pick a student randomly to answer this difficult question in every lecture, what is the probability that I will pick a female at least once in my next 5 lectures? A student previously picked can be picked again.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A school has 3 math classes, each with 25 students, and 2 science classes, each with 30 students. If a student is selected at random from the school, what is the probability that they are in a science class given that they are in a math class? Show your calculations and reasoning.
Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at least twice a week. What is the probability that a student chosen at random from the class uses the library at least twice a week? What is the probability that a student chosen at random from the class uses the library less often than twice a week? If two students are chosen at random from the class, what is the probability that both of them use the library at least twice a week? If two students are chosen at random from the class, what is the probability that both of them do NOT use the library at least twice a week?
From a group of 11 people, you randomly select 5 of them.What is the probability that they are the 5 oldest people in the group?
Of 26 students in a classroom, there are 3 females that are juniors and 8 females that are seniors. There are 6 males that are juniors and 9 males that are seniors.The teacher selects a student at random. What is the probability that the student selected is neither a female nor a junior?
The math professor gave the class a set of 12 review problems and toldthem that the midterm exam would consist of 6 of the 12 problems selected at random.If Mela memorized the solutions to 8 of the 12 problems but could not solve any ofthe other 4 problems, what is the probability that she got 4 or more problems correctin the exam?
If Luis has 8 pairs of socks (4 white, two black, one blue, and one red), what is the probability that he randomly chooses two pairs of white socks to wear on consecutive days?
What is the probability that a couple that has 5 children will have: 4 boys and 1 girl? 5 girls? 3 boys and 2 girls? 3 girls and 2 boys? If the couple has 5 boys in a row, what is the probability that child that the next child will be a boy?
A group of six students is chosen at random from a list of five maths students and four psychology students. What is the probability that four maths students and two psychology students are chosen?
The Math teacher gave the class a set of 12 review problems and toldthem that the midterm exam would consist of 6 of the 12 problems selected at random.If Ana memorized the solutions to 8 of the 12 problems but could not solve any ofthe other 4 problems, what is the probability that she got 4 or more problems correctin the exam?
A spinner has 3 possible outcomes: red, blue, and green. The probability the spinner lands on red is 0.20. If the spinner is spun 5 times, what is the probability it lands on red exactly three times?
Suppose that you have 10 coins: 3 dimes, 3 quarters, and 4 nickels. Two coins are selected at random. What is the probability that you choose exactly 30 coins?
A committee of three people is to be randomly selected from a group of 20 men and 17 women. What is the probability that all three people will be women?