Pinoybix - Probability and Statistics

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

• 10

• 11

• 12

• 13

A club of 40 executives, 33 like to smoke Marlboro and 20 like to smoke Philip Morris. How many like both?

• 10

• 11

• 12

• 13

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?

• 20

• 22

• 24

• 26

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.

• 20

• 25

• 30

• 28

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?

• 280

• 230

• 180

• 130

A toothpaste firm claims that in survey of 54 people, they were using either Colgate, Hapee or Close-up brand. The following statistics were found: 6 people used all three brands, 5 used only Hapee and Close-up, 18 used Hapee or Close-up, 2 used Hapee, 2 used only Hapee and Colgate, 1 used Close-up and Colgate, and 20 used only Colgate. Is the survey worth paying for?

• Neither yes nor no

• Yes

• No

• Either yes or no

How many four-letter words beginning and ending with a vowel without any letter repeated can be formed from the word “personnel”?

• 40

• 480

• 20

• 312

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.

• 292

• 5760

• 34560

• 12870

The number of ways can 3 nurses and 4 engineers be seated on a bench with the nurses seated together is?

• 144

• 258

• 720

• 450

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?

• 4,845

• 116,260

• 360,360

• 3,003