DAY 3 PROBABILITY

Question 1

In a class 40 students, 27 like Calculus and 25 like Chemistry. How many like both Calculus and Chemistry.

A. 10
B.11
C.12.
D.13

Answer 1

12

Question 2

A club of 40 executives, 33 like to smoke Marlboro and 20 like to smoke Philip Morris. How many like both
A.10
B. 11
C.12
D 13

Answer 2

13

Question 3

A survey of 100 persons revealed that 72 of them had eaten at restaurant P
and that 52 of them had eaten at restaurant Q. Which of the following could
not be the number of persons in the surveyed group who had eaten at both
P and Q?
A. 20
B. 22
C. 24
D. 26

Answer 3

24

Question 4

The probability for the ECE board examinees from a certain school to pass
the subject Mathematics is 3/7 and for the subject Communications is 5/7. If
none of the examinees fails both subject and there are 4 examinees who
pass both subjects, find the number of examinees from that school who took
the examinations.

A. 20
B. 25
C. 30
D. 28

Answer 4

28

Question 5

In a commercial survey involving 1000 persons on brand preference, 120
were found to prefer brand x only, 200 prefer brand y only, 150 prefer brand
z only, 370 prefer either brand x or y but not z, 450 prefer brand y or z but
not x and 370 prefer either brand z or x but not y. How many persons have
no brand preference, satisfied with any of the three brands?
A. 280
B. 230
C. 180
D. 130

Answer 5

280

Question 6

How many four-letter words beginning and ending with a vowel without any
letter repeated can be formed from the word “personnel”?
 A. 40
 B. 480
 C. 20
 D. 312

Answer 6

40

Question 7

Five different Mathematics books, 4 different electronics books and 2
different communications books are to be placed in a shelf with the books of
the same subject together. Find the number of ways in which the books can
be placed.
 A. 292
 B. 5760
 C. 34560
 D. 12870

Answer 7

34560

Question 8

The number of ways can 3 nurses and 4 engineers be seated on a bench
with the nurses seated together is?
 A. 144
 B. 258
 C. 720
 D. 450

Answer 8

720

Question 9

If 15 people won prizes in the state lottery (assuming that there are no ties),
how many ways can these 15 people win first, second, third, fourth and fifth
prizes?
 A. 4,845
 B. 116,260
 C. 360,360
 D. 3,003

Answer 9

360,360