 Hello and welcome to the session. In this session, we will discuss the question which says that in a software game, betting average is the number of rates divided by the number of times at bet. The table shows the number of times at bet and hits the players at Woodland Middle School team had in last season order the players from greatest to least based on their betting averages. Now let us start with the solution of the given question. Now in the question we have given, the table showing the number of times at bet and hits the players at Woodland Middle School team had in last season Now we have to handle the players from greatest to least based on their betting averages. Now in the question it is given that betting average is the number of rates divided by the number of times at bet. So first of all we will find the betting average of each player. Now this hits at 36 and he is at bet 45 times. So his betting average is the number of hits that is 36 upon. The number of times he is at bet that is 45. Now Jax's hits are 48 and he is at bet 55 times. So his betting average is 48 by 55. Similarly for Juniana, betting average will be 34 by 40 then for Victor, betting average will be equal to 63 by 81 and for Wilson, betting average will be equal to 38 by 50. Now let us convert these fractions into decimals. Now 36 by 45 is equal to 0.8, 48 by 55 is equal to 0.87272 and so on. Which can be written as 0.872 bar. We are putting a bar on the digits 72 which means this group of digits is repeating. Now 34 by 40 is equal to 0.85, 63 by 81 is equal to 0.77 and so on which can be written as 0.7 bar and 38 by 50 is equal to 0.76. Now we have to order the players from greatest to the least based on their betting averages. Let us plot these betting averages on a number line. Now here we have drawn a number line on which we will plot these betting averages. Now this betting average is 0.8 or you can say 0.80. So let us plot 0.80 on the number line. Now this point represents the betting average of this. Now Jack's betting average is 0.872 bar or 0.87272 and so on which is a non-terminating decimal. Now 0.87272 and so on is greater than 0.870 or 0.87. Now on a number line up to 0.87 or 0.870 the next point will be 0.871. Then the next point will be 0.872 and the next point will be 0.873 and so on. So we will put 0.872 bar after 0.87 on a number line which represents betting average of Jack. Now let us plot the point 0.85. Now this is the point 0.85 which represents betting average of Juliana. Now Victor's betting average is 0.777 and so on which is greater than 0.77 or 0.770. Now on a number line the next point after 0.77 or 0.770 is 0.771 then 0.772 then 0.773 and so on then we will have 0.777 then 0.778 then 0.779 and then 0.780 which is equal to 0.78. From this it is clear that 0.777 is closer to 0.78. This means the decimal 0.7 bar will lie between 0.77 and 0.78 but it will be closer to 0.78. So we will plot the point 0.7 bar closer to 0.78 and this represents the betting average of Victor. And now we will plot 0.76. This represents the betting average of Wilson. Now from this number line you can see that Jack's graph is to the right of all other players. So we can write Jack is to the right. So Jack's average that is Jack's betting average is the greatest. So Wilson's average that is Wilson's betting average is the least. On a number line the numbers with position on the right are greater than the numbers with positions on the left. Therefore from the number line we have 0.872 bar is greater than 0.85 is greater than 0.80 is greater than 0.7 bar is greater than 0.76. So ordering the players from greatest to the least based on their betting averages we have the player with the greatest betting average that is Jack and the next player is Juliana. Then the next is Chris Victor and then the player with the least betting average that is Wilson. So this is the solution of the given question. Let's hope for this session. Hope you all have enjoyed the session.