00:01
In this problem, it is said that you just received a shipment of eight televisions.
00:04
Three of the televisions are defective.
00:06
Two televisions are selected at random, and we need to find the probability that both of the televisions work.
00:14
Now, this will be the number of favorable outcomes divided by the total number of outcomes.
00:19
First of all, consider the total number of outcomes.
00:21
Now, in the shipment, there are eight televisions, and any two televisions are selected at random.
00:26
This can be done in eight c2 ways.
00:28
Here we use c, which represents combination, and we use combination and not permutation in this case, because the order of selection of the televisions does not matter.
00:38
So that's the total number of outcomes.
00:40
Next, consider the number of favorable outcomes.
00:42
We want both the televisions to work.
00:44
Now, out of the eight televisions, three are defective...