Problem 16

Problem – 16

What is the probability that a fair die never comes up an even number when it is rolled ten times?

 

Solution :

Probability to rolled the die for one time and comes up an even number =  \frac{3}{6}= \frac{1}{2}

As the rolls are independent so probability after rolling ten times = \left ( \frac{1}{2} \right )^{10}= \frac{1}{1024}

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