Klein Donnelly
01/27/2023 · Senior High School
the probability of event A occurring is 0.6 , and the probability of event \( B \) occurring is 0.7 , what can be said about the probability of both \( A \) and \( B \) occurring if the events are mutually exclusive? A. It is equal to \( 0.6 \times 0.7 \) B. It is equal to \( 0.7=0.6 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
If events \( A \) and \( B \) are mutually exclusive, it means that they cannot occur at the same time. Therefore, the probability of both \( A \) and \( B \) occurring simultaneously is 0.
So, the correct answer is that the probability of both \( A \) and \( B \) occurring is:
**0** (not listed in your options).
To clarify the options you provided:
- A. It is equal to \( 0.6 \times 0.7 \) is incorrect because that would imply they can occur together, which they cannot since they are mutually exclusive.
- B. It is equal to \( 0.7 = 0.6 \) is also incorrect and nonsensical in this context.
In summary, if \( A \) and \( B \) are mutually exclusive, the probability of both occurring is 0.
Quick Answer
The probability of both \( A \) and \( B \) occurring is 0.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
(0)
Ask Real Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
PREV 
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
