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A couple of dice rolled. What is the empirical probability of getting the sum as $5$ ?

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\frac{3}{2}

\frac{1}{9}

\frac{5}{2}

\frac{7}{2}

answer is B.

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Detailed Solution

When a pair of dice rolled possibilities for getting

5

(1, 4), (2, 3), (3, 2), (4, 1)

.
Total number events occurred when we roll the dice

= 36

.
So, the empirical probability formula is as follows,

P (getting the sum as 5) = \frac{No . of favorable possibilities}{Total np . of possibilities}

.
=

\frac{4}{36}

= \frac{1}{9}

Hence, the correct option is 2.

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