# Five cards are labelled A1, B2, C3, D3, and E3 respectively. A card is selected at random

## Question:

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

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