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 ?

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):}

A die is thrown 200 times and the following outcomes are noted with their frequencies: {:("Outcomes",1,2,3,4,5,6),("Frequency",56,22,30,42,32,18):} (ii) What is the emperical probability of getting a number less than 4?

A die is thrown 200 times and the following outcomes are noted with their frequencies: {:("Outcomes",1,2,3,4,5,6),("Frequency",56,22,30,42,32,18):} (i) What is the emperical probability of getting 1 in the above case?

A die is numbered in such a way that its faces show the number 1,2,2,3,3,6. It is thrown two times and the total score in two throws in noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is i] even? ii] 6? iii] at least 6?

A random variable X has the following probality distribution : {:(x,:0,1,2,3,4,5,6,7,8),(P(X=x),a,3a,5a,7a,9a,11a,13a,15a,17a):} then the value of a is :

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at 8 ?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at an odd number?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at an number less than 9 ?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at a number greater than 2 ?