A hint to get started
Two throws: ordered outcomes and conditioning
In a game, an ordinary fair die is thrown twice and the number that appears on each throw is noted. Find the probability that
(i) both numbers are ‘6’,
(ii) neither number is a ‘5’,
(iii) one number is ‘6’ and the other is ‘5’,
(iv) the sum of the numbers is 6,
(v) the first number is less than the second given that the sum of the two numbers is 6.
CJC · Discussion · Question 1
Keep the throws ordered; conditioning changes the sample space.