# Thread: Sample Spaces And Probability

1. ## Sample Spaces And Probability

Hi!

"A computer manufacturer notes that 5% of their computers are returned owing to faulty disk drives, 2% are returned owing to faulty keyboards, and 0.3% are returned because both disk drives and keyboards are faulty. Find the probability that the next computers manufactured will be returned with:
a) a faulty disk drive or a faulty keyboard
b) a faulty disk drive and a faulty keyboard

Any help much appreciated!
Thanks in advance :-)
~Ebony Jade

2. ## Re: Sample Spaces And Probability

You can solve this with a Venn Diagram or a Karnaugh Map...

3. ## Re: Sample Spaces And Probability

Originally Posted by EbonyJade
"A computer manufacturer notes that 5% of their computers are returned owing to faulty disk drives, 2% are returned owing to faulty keyboards, and 0.3% are returned because both disk drives and keyboards are faulty. Find the probability that the next computers manufactured will be returned with:
a) a faulty disk drive or a faulty keyboard
b) a faulty disk drive and a faulty keyboard
$\mathscr{P}(K\cup D)=\mathscr{P})+\mathscr{P}( D)-\mathscr{P}(K\cap D)$

Now review the question. Isn't the answer to b) given the statement of the question?