MATH QUIZ 3 - PART 1

Question 1

If two dice are tossed, what is the probability of rolling a sum of 6 or 9?

Answer 1

1/4

Question 2

In a dice game, one fair die is used. He wins Php 15 if he rolls either a 1 or a 6. He losses Php 5 if he turns up any other face. What is the expected winning for the one roll of the die?

Answer 2

Php 1.67

Question 3

There are five sticks measured at 1 cm, 2 cm, 3 cm, 4 cm, and 5 cm. If three sticks are randomly picked, what is the probability that the three sticks form a triangle?

Answer 3

0.30

Question 4

A manufacturer has determined that a certain machine averages one defective bolt for every 1000 it produces. What is the probability that an order of 200 bolts will have one or more defective?

Answer 4

0.181

Question 5

If seven fair coins are simultaneously tossed in the air, what is the probability that at least one will land heads up?

Answer 5

0.992

Question 6

How many different ways can 5 boys and 5 girls from a circle with boy and girl alternate?

Answer 6

2880

Question 7

An urn contains 5 white, 3 black, and 2 red balls. in getting one ball, what is the probability that it is not a red ball?

Answer 7

0.80

Question 8

A student must answer six of eight questions on an exam. How many ways can he do the exam if the first two questions are mandatory?

Answer 8

15

Question 9

An urn contains four black balls and 6 white balls. What is the probability of getting one black ball and one white ball in two consecutive draws from the urn?

Answer 9

0.53

Question 10

How many ways can a club of 25 members choose a president, a vice president, a secretary, and a treasurer, if no members can hold more than one position?

Answer 10

303,600

Question 11

How many sequences of six flags can be constructed from four red flags and two green flags?

Answer 11

15

Question 12

What is the probability that no two people in a group of seven having the same birthday?

Answer 12

0.94

Question 13

In tossing a die, what is the probability of getting a prime number?

Answer 13

1/2

Question 14

A PSIM unit has 10ME’s, 8 PME’s, and 6 CPI’s. If a committee of 3 members one from each group is to be formed, how many of such committees can be formed?

Answer 14

480

Question 15

The probability that both stages of a 2 stage missile will function correctly is 0.95. The probability that the first stage will function correctly is 0.98. What is the probability that the second stage will function correctly given that the first one does?

Answer 15

0.97

Question 16

In how many ways can 5 people line up to pay their electric bills at Meralco if two of them don’t want to follow each other?

Answer 16

72

Question 17

In how many ways can three men be assigned consecutive seats in a row of seven seats?

Answer 17

30

Question 18

A cat has litter of seven kittens. If the probability is 0.52 that the kitten will be female, what is the probability that exactly two of the seven will be male?

Answer 18

0.184

Question 19

A Class has 12 boys and 4 girls. If three students are selected at random from the class, what is the probability that they are all boys?

Answer 19

0.3938

Question 20

How many different ways can a party of seven politicians be seated at a round table?

Answer 20

720

Question 21

The probability of a two-stage rocket will function correctly is 0.93. The reliability of the first stage is 0.98. What is the reliability of the 2nd stage?

Answer 21

0.95

Question 22

What is the approximate probability of exactly two people in a group of seven having the same birthday on April 15?

Answer 22

1.6x10^4

Question 23

In a shooting practice, the probability of three trainee cops hitting the target is 30%, 40%, and 45%, respectively. If each fired their gun aiming to the target, what is the probability that only one cop hit the target?

Answer 23

0.442