A has 3 shares in a lottery contain 3 prizes and 9 blanks & B has 2 shares in a lottery contain 2 prizes & 6 blanks Compare chances of winning ?

Dear Mayank

probability for A to loss = ⁹C₃ /¹²C₃

probability for A to win  = 1 - ⁹C₃ /¹²C_{3  =1 -84/220  =136/220}

probability for B to loss = ⁶C₂ /⁸C₂

probability for A to win  = 1 - ⁶C₂ /⁸C_{2  =1 -15/28  =13/28}

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