From a lot of 10 bulbs, which includes 3 defectives, a sample of 2 bulbs is drawn at
random. Find the probability distribution of the number of defective bulbs.

Question

From a lot of 10 bulbs, which includes 3 defectives, a sample of 2 bulbs is drawn at
random. Find the probability distribution of the number of defective bulbs.

anonymous · Answer

What does probability distribution mean?
Does it mean they want you to find the probability of each of the four possibilities?

anonymous · Answer

for 3 defective bulbs

anonymous · Answer

list the possible outcomes of the draw
then find the probability of each of those outcomes

anonymous · Answer

probability distribution>
none of them being defective= [7C{c is for the combination nCr being=n!/(n-r)!*r!}}2]/10C2

similarly 
one of them being defective [7C1*3C1]/2C10

and both of them being defective

3C2/10C2

anonymous · Answer

if you have trouble in the above read about finding probability of happenings using combinations