two dice are thrown at same time write down all the possible outcomes what is the probability that the sum of the two numbers appearing on the top of dice is a prime number
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favorable outcome s are sum of two prime numbers
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outcomes of two dice =
(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)=4
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)=3
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)=2
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)=2
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)=2
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)=2
total outcome =36
probability =15/36(answer)
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