00:01
In this problem, it is said that in a certain bank, of all the prospective customers walking into the bank, 60 % open a checking account, 25 % open a savings account, and 15 % open both accounts.
00:12
Now, suppose a customer is picked at random, we need to find the probability that the customer opens neither of the accounts.
00:19
So let us consider c to be the event that a customer opens a checking account and let us consider s to be the event that a customer opens a savings account.
00:26
Then we need to find the probability that the customer opens neither of the accounts.
00:31
So the customer does not open a checking account and the customer also does not open a savings account.
00:38
Now we can represent and using intersection.
00:42
So instead of this, let's write intersection.
00:44
And using b morgan's law, c complement intersection s complement is equal to c union s whole complement.
00:52
And now we can use the complement rule of probability to obtain that this is equal to one might, is the probability of c union s...