Question

Two dice are thrown simultaneously find the Probability of getting different numbers on both dices​

Answer 1

Answer:

Sample Space S = {(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

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

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

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

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

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

The ones given in bold above are the favourable outcomes.

∴ Total number of outcomes = 36

Number of favourable outcomes = 30

∴ P(Getting different numbers on both dices) = $\frac{30}{36}$ = $\frac{5}{6}$

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