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3. A lot consists of 20 defective and 80 non-defective items from which two items are chosen without replacement. Events A & B are defined as A = {the first item chosen is defective}, B = {the second item chosen is defective} a. What is the probability that both items are defective? b. What is the probability that the second item is defective?
Most Upvoted Answer
3. A lot consists of 20 defective and 80 non-defective items from whic...
And B are defined as follows:

A: Both items are defective.
B: At least one item is defective.

a) Find the probability of event A.

The probability of the first item being defective is 20/100. The probability of the second item being defective, given that the first item was defective, is 19/99 (since there are now 99 items left, after one defective item has been removed). Therefore, the probability of both items being defective is:

P(A) = (20/100) x (19/99) = 0.038

b) Find the probability of event B.

The probability of at least one item being defective is equal to 1 - the probability that both items are non-defective. The probability of the first item being non-defective is 80/100. The probability of the second item being non-defective, given that the first item was non-defective, is 79/99 (since there are now 99 items left, after one non-defective item has been removed). Therefore, the probability of both items being non-defective is:

(80/100) x (79/99) = 0.632

So, the probability of at least one item being defective is:

P(B) = 1 - 0.632 = 0.368
Community Answer
3. A lot consists of 20 defective and 80 non-defective items from whic...
A.19/495
B.1/5
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3. A lot consists of 20 defective and 80 non-defective items from which two items are chosen without replacement. Events A & B are defined as A = {the first item chosen is defective}, B = {the second item chosen is defective} a. What is the probability that both items are defective? b. What is the probability that the second item is defective?
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3. A lot consists of 20 defective and 80 non-defective items from which two items are chosen without replacement. Events A & B are defined as A = {the first item chosen is defective}, B = {the second item chosen is defective} a. What is the probability that both items are defective? b. What is the probability that the second item is defective? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about 3. A lot consists of 20 defective and 80 non-defective items from which two items are chosen without replacement. Events A & B are defined as A = {the first item chosen is defective}, B = {the second item chosen is defective} a. What is the probability that both items are defective? b. What is the probability that the second item is defective? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3. A lot consists of 20 defective and 80 non-defective items from which two items are chosen without replacement. Events A & B are defined as A = {the first item chosen is defective}, B = {the second item chosen is defective} a. What is the probability that both items are defective? b. What is the probability that the second item is defective?.
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