The table shown gives the languages studied by 400 students at a small college:   Freshmen Sophomores Juniors Seniors Total Spanish 50 35 33 29 147 French 40 40 39 37 156 Chinese 20 25 28 24 97 Total 110 100 100 90 400   Find each of the following, giving your answer as a fraction. a.  What is the probability that a randomly selected student is a freshman in Spanish class?  b.  What is the probability that a randomly selected student is in a French class?  c.  What is the probability that a randomly selected sophomore is taking French?  d.  A randomly selected student is known to be taking Spanish.  What is the probability that the student is a freshman?  e.  What is the probability that a randomly selected student who is taking Chinese is also a senior?

please show work on a piece of paper

1. Use this table for the following questions:                        Female      Male         TotalShort Hair       20              40             60 Long Hair        30              10             40 Total                50              50             100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…

Suppose you have the numbers 100–999 written on individual pieces of paper and placed in a hat. If you draw a number from the hat, what is the probability that all three digits are different? (State your answer as a probability: a fraction, decimal, or percent).

A test is given to a group of student.  The grades and gender are summarized below.   A B C Total Male 20 16 18 54 Female 19 7 9 35 Total 39 23 27 89   If one student is chosen at random, find the probability that the student was female OR got a "B"

A group consists of five men and six women. Five people are selected to attend a conference. a. In how many ways can five people be selected from this group of eleven? b. In how many ways can five women be selected from the six women? c. Find the probability that the selected group will consist of all women. a. The number of ways to select five people from the group of eleven is b. The number of ways to select five women from the group of six women is c. The probability is. (Type an integer or a simplified fraction.) G

Consider the following table and answer the questions. Write your answers as fractions. Major Biology Business Engineering Mathematics Computer science Female 34 40 40 31 28 Male 41 36 34 25 38 a. What is the probability that a randomly selected person is a female? b. What is the probability that a randomly selected person is a male whose major is Mathematics? c. If a woman is randomly selected what is the probability that she is studying business? d. If a group of 6 students is selected at random what is the probability that it has 4 females and 2 males?

jar Men Women Вoys Girls Total Survived 343 369 36 37 785 Died 1459 154 38 39 1690 Total 1802 523 74 76 2475 1. Find the probability that a randomly selected Runtanic passenger was not a boy. 2. Find the probability that a randomly selected Runtanic passenger was a boy, given that the passenger died. 3. Find the probability that a randomly selected Runtanic passenger survived, given that the passenger was a woman.