1. 1. From the recent JPOP festival, 1200 of
the 2000 people who attended were fan
girls of Johnny’s Entertainment. They
were asked in a survey if they were
Arashists, Hyphens or Tobikkos. After the
survey, they found out that there are 430
Tobikkos, 525 Arashists and 245 Hyphens.
a) Find the probability of getting an Arashist
b) Find the probability of getting a Tobikko
c) Find the probability of getting a Hyphen
2. Last 2012, the 9 members of the popular
idol group, Hey! Say! JUMP, were asked
in an interview if they were already in
their legal age or not and whether or not
they are attending a university. A twoway classification table was prepared. If
one member is selected at random from
this group, find the probability that this
member is:
a) In his legal age
b) Attending a university
c) Not in his legal age given that he is not
attending a university
d) Attending a university given that he is in
his legal age
Attends a
university
Doesn’t
attend a
university
In his legal
age
2
3
Not in his
legal age
1
3

2. 3. Consider the following two events in
auditioning and sending their resume as a
junior in Johnny’s Entertainment (A
company in the Entertainment Industry)
A: Event that the resume the applicant sent
was accepted
B: Event that the resume the applicant sent
was not accepted
What is the joint probability of A and B?
4. Getting a ticket for a concert of Arashi is
as hard as searching for your Micro SD
card in the middle of the crowd and even
the members of Arashi can’t buy one
because of the demand of the tickets by
the fans. 885 Japanese fans and overseas
fans were asked about this topic if they
have difficulties in getting the tickets.
The table below gives a two-way
classification table of the responses of
the Japanese and overseas fans.
Has
difficulties
Japanese
fans
Overseas
fans
Doesn’t have
difficulties
Neutral
135
378
50
210
63
49
Find the probability that one fan selected at
random from these 885 fans is a Japanese or has
difficulties in getting a ticket of Arashi.
5. The probability that a random selected
citizen is a JPOP fan is 0.32 and the joint
probability that the citizen is a JPOP fan
and has a job is 0.12. Find the conditional
probability that a citizen has a job given
that the citizen is a JPOP fan.