Question

# A die is thrown once. Find the probability of getting a number between $$3$$ and $$6$$.

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#### In a throw of a dice,Possible outcomes $$=\left\{1,2,3,4,5,6\right\}$$Total number of possible outcomes $$=6$$Now,Favorable outcomes= number between $$3$$ and $$6=\left\{4,5\right\}$$Number of favorable outcomes $$=2$$Probability is given by,$$\displaystyle P(A)$$$$=\dfrac{\text{no. of possible outcomes}}{\text{No. of total outcomes}}$$$$P$$ (a number between $$3$$ and $$6$$) $$=\dfrac26=\dfrac13$$

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