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