Statistics & Probability CIE Mock Exam
October 19, 2017
1. How many words can be formed with the letters of the word “OMEGA” when “O” and
“A” occupying end places?
A. 120
B. 12
C. 720
D. 6
2. What is the probability of getting five Tuesday in a 31-day month?
A. 5/31
B. 1/7
C. 3/7
D. 3/12
3. A drug for the relief of asthma can be purchased from 5 different manufacturers in
liquid, tablet, or capsule form, all of which come in regular and extra strength. How
many different ways can a doctor prescribe the drug for a patient suffering from asthma?
A. 30 ways
B. 15ways
C. 10ways
D. 8 ways
4. The probability that Mac CIE Review Center will open a review center in Quezon City is
0.7, the probability that is will open a review center in Laguna is 0.4, and the probability
that it will open a review center in either QC or Laguna or both is 0.8. What is the
probability that Mac CIE Review Center will locate in both cities?
A. 0.8
B. 0.3
C. 0.11
D. 0.4
5. If the probabilities that a computer technician will repair 3,4,5,6,7, or 8 or more laptops
on any given workday are 0.12, 0.19, 0.28, 0.24, 0.10, and 0.07, respectively, what is the
probability that he will service at least 5 laptops on his next day at work?
A. 0.12
B. 0.19
C. 0.31
D. 0.69
6. The probability that a husband watches Grace Anatomy is 0.40 and the probability that
the wife watches the same show is 0.50. The probability that the husband watches the
show given that his wife does is 0.70. Find the probability that the couple watches Grace
Anatomy.
A. 0.35
B. 0.55
C. 0.75
D. 0.875
7. What is the probability that the wife watches the show given that her husband does?
A. 0.35
B. 0.55
C. 0.75
D. 0.875
8. What is the probability that at least 1 person from the married couple will watch the
show?
A. 0.35
B. 0.55
C. 0.75
D. 0.875
9. Three cards are drawn in succession, without replacement, from an ordinary deck of
playing cards. Find the probability that the event A1A2A3 occurs, where A1 is the
event that the first card is a red two, A2 the event that the second card is a jack or a
queen, and A3 is the event that the third card is greater than 5 but less than 9.
A. 8/51
B. 12/50
C. 1/25
D. 8/5525
10. In a certain semiconductor plant, three machines, M1, M2, and M3, make 30%, 45%,
and 25%, respectively, of the products. It is known from past experience that these
machines produce defective products at 2%, 3%, and 2%, respectively. Suppose that a
finished product is randomly selected by the final QC Inspector, what is the probability
that it is defective?
A. 0.006
B. 0.0245
C. 0.00135
D. 0.005
11. In problem #10, if a product were chosen randomly by the final QC Inspector, and found
the product to be defective, what is the probability that it was made by machine M3?
A. 0.0135
B. 0.0245
C. 0.2041
D. 0.2481
12. Based on a study reported by UR students, approximately 60% of those who took and
passed the CIE Board Exams are first time takers. Find the probability that among the
next 8 board passers interviewed, exactly 3 are first time takers.
A. 0.0198
B.0.1239
C. 0.1737
D. NOTA
13. The probabilities are 0.4, 0.2, 0.3, and 0.1, respectively, that a delegate to the APIEMS
Convention in Cebu will arrive by air, bus, private car, or by boat. What is the
probability that among 9 delegates randomly selected at this convention, 3 arrived by
plane, 3 arrived by bus, 1 arrived by private car, and 2 arrived by boat?
A. 0.0077
B. 0.0645
C.0.0270
D. NOTA
14. A company is interested in evaluating its current inspection procedure on shipments of
50 identical items. The procedure is to take a sample of 5 and pass the shipment if no
more than 2 are found to be defective. What proportion of 20% defective shipments will
be accepted?
A. 0.9517
B. 0.3106
C.0.4313
D. NOTA
15. Amkor uses an acceptance sampling scheme on production items before they are
shipped. The plan is a two-stage process. Boxes of 25 are readied for shipment and a
sample of 3 are tested for defectives. If any defectives are found, the entire box is sent
back for 100% screening. If no defectives are found, the box is hipped. What is the
probability that a box containing only 1 defective will be sent back for screening?
A. 0.67
B. 0.32
C.0.12
D. NOTA
16. From a lot of 10 ipods, 4 are selected at random and tested. If the lot contains 3 defective
ipods that will not work when tested, what is the probability that all 4 will work?
A. 0.1666
B.0.6667
C. 0.0190
D. NOTA
17. An oil company conducts a geological study that indicates that an exploratory oil well
should have a 20% chance of striking oil. What is the probability that the first strike comes
on the third well drilled?
18. 0.125
B.0.074
C. 0.128
D. NOTA
19. On the average, an intersection in Espana results in 3 traffic accidents per month. What
is the probability that for any given month at this intersection, less than 3 accidents will
occur?
A. 0. 4232
B. 0.6472
C.0.8571
D. NOTA
C.0.8153
D. NOTA
20. Exactly 5 accidents will occur.
A. 0.9161
B.0.1008