Five cards are labelled A1, B2, C3, D3, and E3 respectively. A card is selected at random and then a second is selected again before the first is replaced. 

(a) Show by listing the sample space that there are just 20 possible outcomes. 

(b) Find the following probabilities: 

(i) The first card chosen is A1; 

(ii) The second card chosen is A1; 

(iii) The card A1 is chosen; 

(iv) The letter on the cards are adjacent in the alphabet; 

(v) The sum of the numbers on the cards is odd; 

(vi) The sum of the numbers on the cards is 5