MATH 53

There are 3 questions in a test. For each question 1 point is awarded for a correct answer and none for a wrong answer. If the probability that Janine correctly answers a question in the test is 2/3, determine the probability that she gets zero in the test.

• a. 8/27

• b. 4/9

• c. 1/30

• d. 1/27

In the ECE Board Examinations, the probability that an examinee will pass each subject is 0.8. What is the probability that an examinee will pass at least two subjects out of the three board subjects?

• a. 70.9%

• b. 80.9%

• c. 85.9%

• d. 89.6%

In a multiple choice test, each question is to be answered selecting 1 out of 5 choices, of which only 1 is right. If there are 10 questions in a test, what is the probability of getting 6 right of pure guesswork?

• a. 10%

• b. 6%

• c. 0.44%

• d. 0.55%

From a box containing 6 red balls, 8 white balls and 10 blue balls, one ball is drawn at random. Determine the probability that it is red or white.

• a. 1/3

• b. 7/12

• c. 5/12

• d. 1/4

From a bag containing 4 black balls and 5 white balls, two balls are drawn one at a time. Find the probability that both balls are white. Assume that the first ball is returned before the second ball is drawn.

• a. 25/81

• b. 16/81

• c. 5/18

• d. 40/81

A bag contains 3 white and 5 black balls. If two balls are drawn in succession without replacement, what is the probability that both balls are black?

• a. 5/16

• b. 5/28

• c. 5/32

• d. 5/14

A urn contains 4 black balls and 6 white balls. What is the probability of getting 1 black and 1 white ball in two consecutive draws from the urn?

• a. 0.24

• b. 0.27

• c. 0.53

• d. 0.04

From a bag containing 4 black balls and 5 white balls, two balls are drawn one at a time. Find the probability that one ball is white and one ball is black. Assume that the first ball is returned before the second ball is drawn.

• a. 16/81

• b. 25/81

• c. 20/18

• d. 40/81

A group of 3 people enter a theater after the lights had dimmed. They are shown to the correct group of 3 seats by the usher. Each person holds a number stub. What is the probability that each is in the correct seat according to the numbers on seat and stub

• a. 1/6

• b. 1/4

• c. 1/2

• d. 1/8

From 20 tickets marked with the first 20 numerals, one is drawn at random. What is the chance that it will be a multiple of 3 or of 7?

• a. 1/2

• b. 8/15

• c. 3/10

• d. 2/5