Two persons each makes a single throw with a pair of dice. The probability that their scores are equal is

Question

Infinity Learn · Accepted Answer

Total number of cases $$=n(S)=6262=362$$ For favorable cases $$n(E)$$ Their scores can be $$2$$,$$3$$,$$4$$,…,$$12$$ Number of cases in which both score '$$2$$' or '$$12$$' is $$1$$×$$1$$ Number of cases in which both score '$$3$$' or '$$11$$' is $$2$$×$$2$$ Number of cases in which both score '$$4$$' or ' $$10$$ ' is $$3$$×$$3$$ Number of cases in which both score '$$5$$' or '$$9$$' is $$4$$×$$4$$ Number of cases in which both score ' $$6$$ ' or ' $$8$$ ' is $$5$$×$$5$$ Number of cases in which both score '$$7$$' is $$6$$×$$6$$∴ Required probability, $$n(E)=212+22+32+42+52+62(36)2=73648$$

Two persons each makes a single throw with a pair of dice. The probability that their scores are equal is

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