those attending a recent high school reunion included 34 lawyers (18 of whom are
ID: 3128175 • Letter: T
Question
those attending a recent high school reunion included 34 lawyers (18 of whom are men), 12 doctors (7 of whom are men), 6 teachers (2 of whom are men), 7 statisticians( 3 of whom are men), and 61 with other careers (34 of whom are men).
a) if randomly spoke to two people at the same time, what the probability they are both teachers?
b) if randomly spoke to two people at the same time, what is the probability they are both men?
c) if the person you spoke to is a woman, what is probability she is statistician?
d) if you randomly spoke to one of attendees, what is the probability that person would be a lawyer or statistician?
e) if you randomly spoke to one of attendees, what is the probability that person would be a lawyer?
Explanation / Answer
proffesioner
No:of persons
mem
women
lawyers
34
18
16
doctors
12
7
5
teachers
6
2
4
statisticians
7
3
4
other
61
34
27
total
120
64
56
a) P( p1 and p2) = P(p1)xP(p2) (both are teachers out of 120)
=6/120x5/120
=30/120^2 =2.08x10-3
b) P( p1 and p2) = P(p1)xP(p2) (both are men out of 120)
= 64/120x63/120
=0.28
c) P(ws) = WS/w
=4/54
=2/27
=0.07
d) P(L or S) = P(L) +P(S)
=34/120 + 7/120
=41/120
=0.34
e) P(L) = No. Lawyers/(total)
= 34/120
=17/60 =0.28
proffesioner
No:of persons
mem
women
lawyers
34
18
16
doctors
12
7
5
teachers
6
2
4
statisticians
7
3
4
other
61
34
27
total
120
64
56
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