Question

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two dice are thrown simultaneously. list all the possible outcomes and the probability of getting same number on both dice (doublets); the sum of prime number

Answer 1

Answer:

Explanation:

There are 36 possible outcome:
(1,1) (1,2) (1,3)...(1,6)
(2,1)....(2,6)
(3,1).....(3,6)
(4,1)....(4,6)
(5,1)....(5,6)
(6,1).....(6,6)

The possibility of getting a doublet are 6 possible outcome:

(1,1) (2,2) (3,3) (4,4) (5,5) (6,6)

P = 6/36 = 1/6

The possibility for getting a sum of prime number are 8 outcome:
(1,2) (2,1) (2,3) (3,2) (5,2) (2,5) (5,6) (6,5)

P = 8/36 = 2/9