Two unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of numbers on two dice is greater than $9$?

  • A
    $\frac{1}{5}$
  • B
    $\frac{1}{6}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{1}{3}$

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In a game,the entry fee is $Rs. 5$. The game consists of tossing a coin $3$ times. If one or two heads show,Sweta gets her entry fee back. If she throws $3$ heads,she receives double the entry fee. Otherwise,she will lose. For tossing a coin three times,find the probability that she:
$(i)$ loses the entry fee.
$(ii)$ gets double the entry fee.
$(iii)$ just gets her entry fee back.

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$(i)$ it is acceptable to Jimmy? $\quad (ii)$ it is acceptable to Sujatha?

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