For the given pair of events A and B, complete parts and below. When a page is r

Question

For the given pair of events A and B, complete parts and below. When a page is randomly selected and ripped from a 7-pago document and destroyed, it is page 3. When a different page is randomly selected and ripped from the document, it is page 4 Determine whether events A and B are independent or dependent. (If two events are technical dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent) Find P(A and B), the probability that events A and B both occur. Choose the correct answer below. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. The two events are independent because the 5% guideline indicates that they should be treated ad independent. The probability that events A and B both occur is

Explanation / Answer

We need to find the probability that both will occur.

Since the events are dependent,

P(A and B) = P(A) * P(B|A)

P(A) = P(Selecting page 3) = 1/7

P(B | A) = P(Selecting page 4 | Page 3 has been ripped off) = 1/6

So,

P(A and B) = 1/7 * 1/6 = 1/42 = 0.0238 (Rounded off to 4 decimal places)

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---