00:01
This problem, it is said that at a certain college, 55 % of its graduates find a job in the chosen field within a year after graduation.
00:09
We want to find the probability that among six randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
00:17
So let us consider g to be the event that a person finds a job in the chosen field within a year after graduation.
00:25
Then according to the question, the probability of this event will be 55%.
00:28
This is 55 over 100 or 0 .55.
00:32
Now from here we can determine p of g complement, the probability that a person does not find a job within a year of graduating.
00:38
Using the complement rule of probability, this is 1 minus pfg, that is 1 minus 0 .55 or 0 .45.
00:46
Now what we have been asked to determine is the probability that at least one finds a job.
00:51
So using the complement rule of probability, this will be 1 minus the probability of the complementary event.
00:56
And the complementary event of at least one finding a job will be that none of them find a job.
01:02
So none of them find a job...