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 =36Ā 

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

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

then the probility of getting same prime number areĀ 

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

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

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


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