Complete the following table :
`{:("Event: 'Sum on 2 dice'",2,3,4,5,6,7,8,9,10,11,12),("Probability",1/36,,,,,,5/36,,,,1/36):}`

Two dice, one blue and one grey, are thrown at the same time. i] Write down all the possible outcomes and complete the following table: ii] A student argues that 'there are 11 possible outcomes 2,3,4,5,6,7,8,9,10,11 and 12. There, each of them has a probability (1)/(11) . do you agree with this arguement ?

A={1,2,3,4,5,6,7,8,9,10}, B={2,3,5,7}. Find A cap B

Carry out the following divisions: -36y^3 :-9y^2

Find the matrix X so that X[(1,2,3),(4,5,6)]=[(-7,-8,-9),(2,4,6)]

Let U={1,2,3,4,5,6,7,8,9},A={1,2,3,4},B={2,4,6,8} and C={3,4,5,6} : Find: (B-C)'

Find the minor of elements 6 in the determinants Delta = {:|( 1,2,3),(4,5,6),(7,8,9)|:}

Let U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4} and B={3,4,5,6},Find (A uu B)

The distance (in km) of 40 engineers from their residence to their place of work were found as follows : {:(5,3,10,20,25,11,13,7,12,31),(19,10,12,17,18,11,32,17,16,2),(7,9,7,8,3,5,12,15,18,3),(12,14,2,9,6,15,15,7,6,12):} Construct a grouped frequency distribution table with class size for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation ?

Let U={1,2,3,4,5,6,7,8,9},A={1,2,3,4},B={2,4,6,8} and C={3,4,5,6} : Find: (AuuC)'

Thirty children were asked about the number of hours they watched TV programmes in the previous week.The results were found as follows : {:(1",",6",",2",",3",",5",",12",",5",",8",",4",",8),(10",",3",",4",",12",",2",",8",",15",",1",",17",",6),(3",",2",",8",",5",",9",",6",",8",",7",",14",",12):} (i) Make a grouped frequency distribution table for this data 5 and one of the class intervals as 5-10. (ii) How many children watched television for 15 or more hours a weak ?