 Hi friends I am Pooja and today we will discuss the following question. Find the probability distribution of number of heads in 4 tosses of a coin. Let us begin with the solution now. Now let S be the sample space of the experiment of tossing 4 coins. Or you can say 4 tosses of a coin. Then S is the set consisting of 16 outcomes. Note these are the 16 outcomes which we get in 4 tosses of a coin. Now here we have H represents head and T represents tail. Now we have to find the probability distribution of number of heads in 4 tosses of a coin. So let X denote the number of heads in 4 tosses of a coin. Then we have X is equal to 0, 1, 2, 3, 4. That is in 4 tosses of a coin the maximum number of heads that we can get is 4. That is when all our head and the minimum number of heads that we can get is 0. That is when all our tail. When X is equal to 0 that is when there is no head. That means all our tails then we have probability of X is equal to 1 upon 16. Because there is only one outcome out of these 16 outcomes which have all tails. When X is equal to 1 that is there is only one head and three tails. Then we have probability of X is equal to 4 upon 16. Because there are four outcomes out of these 16 outcomes which have one head and three tails. When X is equal to 2 that is when there are two heads and two tails then we have probability of X is equal to 6 upon 16. Because there are six outcomes out of these 16 outcomes which have two heads and two tails. When X is equal to 3 that is number of heads and four tosses of a coin is 3 and only one is tail. Then we have probability of X is equal to 4 upon 16. Because there are four outcomes out of the 16 outcomes which have three heads and one tail. And we have this is equal to 1 upon 4. When X is equal to 4 that is when all our heads then we have probability of X is equal to 1 upon 16. Because there is only one such outcome which has all heads out of these 16 outcomes. So we get probability of X as 1 upon 16. Now we will draw the probability distribution table. So this is our probability distribution table which gives us the probability distribution of number of heads and four tosses of a coin. This is our answer. Hope you have understood the solution. Bye and take care.