Asked by Food and Stories on Sep 25, 2024
Verified
Assume that A and B are independent events with P(A)= 0.30 and P(B)= 0.50.The probability that both events will occur simultaneously is 0.80.
Independent Events
Two events are considered independent if the occurrence of one does not affect the probability of occurrence of the other.
Simultaneously
Occurring, operating, or done at the same time; often used in statistical contexts to describe events or processes that happen concurrently.
- Become proficient in and put to use the theory of probability in numerous situations.
- Clarify the distinction between events that are independent and those that are mutually exclusive.
Verified Answer
JC
J Cody Weidauer4 days ago
Final Answer :
False
Explanation :
If A and B were truly independent, then the probability of both occurring simultaneously would be P(A) * P(B) = 0.30 * 0.50 = 0.15. Since the given probability is greater than this, it suggests that A and B are not independent after all. Therefore, the statement is false.
Learning Objectives
- Become proficient in and put to use the theory of probability in numerous situations.
- Clarify the distinction between events that are independent and those that are mutually exclusive.