Question 150

When two dice are rolled at random, then the probability of getting same prime number on both dice is

Solution

now the total number of event occurs when two unbiased dice are thrown =36 

we have to choose prime number which are 2,3 and 5 

so the favorable outcomes pair  are $${{2, 2}}$$, pair  $${{3, 3}}$$,pair  $${{5, 5}}$$ 

then the probility of getting same prime number are 

$$P{ {same- prime}}$$=$$\frac{number of favorable outcomes}{total number of possible outcomes}$$

$$p{ {same- prime}}$$=$$\frac{3}{36}$$

$$p {{same- prime}}$$=$$\frac{1}{12}$$ answer 


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