Answer to Question #229748 in English for Sne

Question

According to the fractions in the following Venn diagram, a group of males has the three qualities of being married (A), holding a college degree (B), and being a citizen of a specific state (C). That is, 5% of males have all three qualities, whereas 20% have a college education but are not married and do not reside in the given state. At rand, one guy is selected.

Find the probability that he

1. a) is married.

b) has a college degree and is married?

c) is not from the specified state but is married and has a college degree.

d) is not married or does not have a college degree, given that he is from the specified state.

2. A container includes six components from supplier A, seven from supplier B, and eight from supplier C. What is the likelihood that each supplier will have at least one component examined if four of the components are chosen at random for testing?

Answer 1

Question 1

a) is married.

0.2+0.1+0.05+0.1=0.45

b) has a college degree and is married?

0.1+0.05= 0.15

c) is not from the specified state but is married and has a college degree.

0.10

d) is not married or does not have a college degree, given that he is from the specified state.

0.35+ 0.35-0.25= 0.45

0.25+0.1+ 0.05+0.1= 0.5

0.45/0.5=0.9

Question 2

21C4= 5985

6C2*7C1*8C1+6C1*7C2*8C1+6C1*7C1*8C2

(15*7*8) +(6*21*8) +( 6*7*28) = 3024

3024/5985

=0.5052631 or 0.5053