A has 3 shares in a lottery containing 3 prizes and 9 blanks, B has 2 shares in a lottery containing 2 prizes and 6 blanks. Compare their chances of success

Probability of A to lose = 9C3/12C3 = 84/220

Probability that A wins = 1-84/220 = 136/220

Probability of B to lose = 6C2/8C2 = 15/28

The probability that B wins = 1-15/28 = 13/28

The comparison of their victory is 136/220: 13/28

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