 Hello and welcome to the session. The given question says, a bat contains five black, five red and three white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is first, red, second, black or white and third, not black. Let's start with the solution. Here we are given that the number of black balls is equal to five, number of red balls is also five and the number of white balls is equal to three. Therefore, total number of balls at the bag contains is equal to five plus five plus three and this is equal to thirteen. Now probability of an event E is defined by the number of outcomes favourable to E divided by the total number of possible outcomes. Now let us find out the probability that the ball drawn is red by using this. First we have to find the probability of drawing the red ball. So the number of red balls are five, so the number of favourable outcomes to the event that the ball drawn is red in colour is five and the total number of balls are thirteen. So we have five by thirteen. Second is probability of drawing the black or a white ball. Now drawing the black or a white ball are two mutually exclusive events, so this is equal to probability of a black ball plus probability of a white ball. Now probability of drawing a black ball is five by thirteen since the total number of black balls are five and the total number of balls are thirteen. And probability of drawing a white ball is three by thirteen, so this is equal to eight divided by thirteen. And then we have to find out in the third part probability of drawing the ball which is not black. So this is equal to one minus probability of drawing the black ball and probability of drawing the black ball is there are five black balls so we have one minus five divided by thirteen and this gives eight divided by thirteen. Hence our answer is probability that the ball drawn is red is five by thirteen. This is answer to the first part. Answer to the second part is eight by thirteen that is ball drawn is either black or white and answer to the third part is eight divided by thirteen that is the ball drawn is not black. So this completes the session. Hope you have understood it. Bye and take care.