D. Two dice are thrown simultaneously. Find the probability i) both the dice show the same number. ii) both the numbers on the dice are prime numbers. iii) multiple of 6 as the sum on both the die.
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Answer:
Two dice are rolled simultaneously, then
Total outcomes =6×6
=36
Prime number of both the side =(2,2),(2,3),(2,5),(3,2),(3,3),(3,5),(5,2),(5,3),(5,5)=9
Therefore,
Probability P(E)= ( Favourable outcomes )/ ( Total outcomes)
=9/36
=1/4
Explanation:
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