00:01
In this problem, it is said that a certain drug is known to produce undesirable side effects and 35 % of all patients who use the drug.
00:07
We have a random sample of six patients who use the drug, and we need to find the probability that none have undesirable side effects.
00:15
So let us consider s to be the event that a patient has undesirable side effects.
00:20
Then the probability of this event s is according to the question 35%.
00:25
That's 35 by 100 or 0 .35 .35.
00:28
Now, we can use this to determine the probability of s complement, which is the probability that a patient does not have undesirable side effects.
00:36
So using the complement rule of probability, this is 1 minus p of s, which is equal to 1 minus 0 .35, that is 0 .65.
00:45
Now, what we have been asked to determine is the probability that none of the six patients have undesirable side effects.
00:51
So the first patient does not have undesirable side effects.
00:54
The second one also doesn't, and so on until we get to the sixth one...