SOLUTION: men: A students: 11 B students:15 C students: 6 D students: 1 women : A students: 12 B students:10 C students:6 D students:3 A )Randomly choose 1 student from

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Question 912017: men:
A students: 11
B students:15
C students: 6
D students: 1

women :
A students: 12
B students:10
C students:6
D students:3

A )Randomly choose 1 student from the class. What is the probability that the student is an A student or a woman? Write your answer as a decimal rounded to 3 decimal places.
b) Randomly choose 1 student from the class. What is the probability that the student is an A student or a B student? Write your answer as a decimal.
c).Randomly choose 1 student from the class. What is the probability that the student is a male A student? Write your answer as a decimal rounded to 3 decimal places.
D).Randomly choose 1 student from the class. What is the probability that the student is a man? Write your answer as a decimal rounded to 3 decimal places
E).Randomly choose 1 student from the class. What is the probability that the student is not a B student? Write your answer as a decimal rounded to 3 decimal places.
F).Randomly choose 1 student from the class. What is the probability that the student is a B student given that they are a woman? Write your answer as a decimal rounded to 3 decimal places.
G).Randomly choose 2 students from the class (without replacement). What is the probability that the first student is a woman and the second is a man? Write your answer as a decimal rounded to 3 decimal places.

H).Randomly choose 2 students from the class (without replacement). What is the probability that the first student is an A student and the second student is a woman? Write your answer as a decimal rounded to 3 decimal places.
J).Randomly choose 2 students from the class (without replacement). What is the probability that both students are women? Write your answer as a decimal rounded to 3 decimal places
Please I'm not really looking for answers. I just want to know how to do this I've tried and I am soo fed up. Thank you

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
HIGHLY Recommend Chart with Totals: For ex: 64 total students
Re TY: Let the C hart talk to You and apply basic rules if necessary
MEN WOMAN Tot
A 11 12 23
B 15 10 25
C 6 6 12
D 1 3 4
Tot 33 31 64
Choose 1
a)P(A student 0r a woman) = 23/64 + 31/64 - 12/64 = 42/64 P(A or B) = P(A) + P(B) - P(A and B)
b)P(A student 0r B student)= 23/64 + 25/64 P(A or B) = P(A) + P(B) (can't be both an A & a B student))
c)P(male A student )= 11/64
d)P( student is a man)= 33/64
e)P(student is not a B student )= 1 - P(B student)= 1- 25/64
f)P(B student | a woman )= P(A|B) = P(A and B)/P(B)
Choose 2 w/o replacement
g)P(first student is a woman AND the second is a man)= P(A and B) = P(A)•P(B) (WATCH TOTAL LEFT TO CHOOSE FROM)
h)P(first student is an A student AND the second student is a woman)=
i)P(both students are women(WOMAN and WOMAN)=
Inspect carefully...Let You finish Up...reducing fractions etc
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