 Hello and welcome to the session. In this session we discuss the following question which says a coin is tossed 100 times and we get head 40 times, head tail 60 times, then a coin is tossed at random. What is the probability of getting a head and a tail? Before we move on to the solution let's recall the formula for the probability of an event we consider e be an event then the probability of e is equal to the number of trials in which e occurs upon the total number of trials. This is the key idea to be used in this question. Let's move on to the solution now. Now we are given that a coin is tossed 100 times so we can say that the total number of trials is equal to 100 we take let e1 be an event of getting a head and let e2 be an event of getting a tail. Now we need to find the probability of getting a head that is we need to find the probability of event even this is equal to the number of trials in which even occurs which is given as 40 since we are given that when a coin is tossed we get the head 40 times so this is equal to 40 upon the total number of trials which is 100 so this is equal to 2 upon 5 now probability of e2 that is probability of getting a tail is equal to the number of trials in which e2 occurs which is 60 since we get tail 60 times so this is equal to 60 upon the total number of trials which is 100 so here we get 3 upon 5 as the probability of getting a tail thus we have the probability of getting a head is equal to 2 upon 5 and the probability of getting a tail is equal to 3 upon 5 so this is our final answer this complete session hope you understood the solution for this question