# Probability Tester

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Tedelweiss
T
Tedelweiss
Community Contributor
Quizzes Created: 1 | Total Attempts: 256
Questions: 11 | Attempts: 256

Settings

This exercise is going to be pre training test to gauge what each of your understanding of probability is. The scores will then be compared with the scores of the post training test to determine how effective the session has been for each one of you.

You have 30 mins to complete the test beyond which the scores will not be considered.

• 1.

• A.

1

• B.

.3

• C.

.7

• D.

0

C. .7
• 2.

• A.

.6

• B.

.8

• C.

.3

• D.

.5

A. .6
• 3.

• A.

1/5

• B.

1/6

• C.

5/18

• D.

1/12

B. 1/6
• 4.

• A.

64/1023

• B.

64/1223

• C.

64/1323

• D.

64/1123

C. 64/1323
• 5.

• A.

1/26

• B.

1/13

• C.

4/47

• D.

2/13

C. 4/47
• 6.

• A.

7/16

• B.

9/16

• C.

15/28

• D.

13/28

D. 13/28
• 7.

• A.

2/3

• B.

11/16

• C.

13/18

• D.

3/4

C. 13/18
• 8.

### A study has been done to determine whether or not a certain drug leads to an improvement in symptoms for patients with a particular medical condition. The results are shown in the following table.ImprovementNo ImprovementTotalDrug270530800No Drug120280400Total3908101200Based on this table, what is the (empirical) probability that a patient shows improvement if it is known that the patient was given the drug?

• A.

• B.

.225

• C.

.3375

• D.

.325

C. .3375
Explanation
The empirical probability can be calculated by dividing the number of patients who showed improvement after taking the drug by the total number of patients who were given the drug. In this case, the number of patients who showed improvement after taking the drug is 270, and the total number of patients given the drug is 800. Therefore, the empirical probability is 270/800 = 0.3375, which can be expressed as 0.3375 or 33.75%.

Rate this question:

• 9.

### The results of the study in question #9 on the relationship between a certain drug and the improvement in symptoms for patients with a particular medical conditon are repeated below. ImprovementNo ImprovementTotalDrug270530800No Drug120280400Total3908101200Based on this table, are the events "has the drug" and "improvement" independent events?

• A.

No, they are not independent

• B.

Yes, they are independent

A. No, they are not independent
Explanation
The table shows the number of patients who have taken the drug and whether they experienced improvement or not. To determine if the events "has the drug" and "improvement" are independent, we need to compare the observed frequencies with the expected frequencies under independence. If the observed frequencies are significantly different from the expected frequencies, then the events are not independent. In this case, the observed frequencies are not equal to the expected frequencies, indicating that the events are not independent. Therefore, the correct answer is "No, they are not independent."

Rate this question:

• 10.

### A company has three plants at which it produces a certain item. 30% are produced at Plant A, 50% at Plant B, and 20% at Plant C. Suppose that 1%, 4% and 3% of the items produced at Plants A, B and C respectively are defective. If an item is selected at random from all those produced, what is the probability that the item was produced at Plant B and is defective?

• A.

.02

• B.

• C.

.2

• D.

.04

A. .02
Explanation
The probability that an item was produced at Plant B and is defective can be calculated by multiplying the probability of being produced at Plant B (50%) with the probability of being defective at Plant B (4%). This gives us 0.5 * 0.04 = 0.02, which is equal to .02.

Rate this question:

• 11.

• A.

True

• B.

False