3 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...

3 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; and (vi) the sum of the numbers on the cards is 5.