Fundraise on MathsGee
First time here? Checkout the FAQs!
x

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

2 like 0 dislike
364 views
Given that P(A)=0,7; P(B)=0,4 and P(A and B)=0,28, are events A and B mutually exclusive? Give a reason for your answer. are the events A and B independent? Give a reason for your answer.
in Mathematics by Platinum (131,394 points) | 364 views

1 Answer

1 like 0 dislike
Best answer
For two events to be mutually exclusive, with event A and B, the probability of their union is the sum of the probabilities of the events.

P(A∪B)=P(A)+P(B)

0.28 is not = 0.7 + 0.4 = 1.10 , therefore A and B are not mutually exclusive, they can happen at same time.

Two events, A and B are independent if and only if:

P(A and B)=P(A)×P(B)

0.28 = 0.7 x 0.4 = 0.28 , therefore independent.
by Diamond (52,788 points)
selected by

Related questions

0 like 0 dislike
1 answer

Join the MathsGee Learning Club where you get study and financial support for success from our community. CONNECT - LEARN - FUNDRAISE


On the MathsGee Learning Club, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Start a Fundraiser


5. Tip your favourite community member(s)


6. Create Live Video Tutorials (Paid/Free)


7. Join Live Video Tutorials (Paid/Free)


8. Earn points for participating



Posting on the MathsGee Learning Club


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




CLUB RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


MathsGee Android Q&A