Answer:
[tex]\textbf{Hence, The required Probability = }\bf\frac{11}{9380}[/tex]
Step-by-step explanation:
Total number of ways to award the prizes = 336
Total number of people entered in the quiz = 10 + 2 = 12
[tex]\text{Probability that the i win the first prize = }\frac{12}{336}[/tex]
Now one prize has been awarded to me, so remaining number of ways to award the prizes = 336 - 1
= 335
Also, one person that is i has received the prize so persons left who can receive the prize = 12 - 1 = 11
[tex]\text{Probability that the my mom wins the second prize = }\frac{11}{335}[/tex]
To find the required probability, Multiply both the above probabilities.
[tex]\textbf{Hence, The required Probability = }\frac{12}{336}\times \frac{11}{335}=\bf\frac{132}{112560}=\frac{11}{9380}[/tex]
