Math, asked by adarshaudi5068, 9 months ago

If two dice are thrown in air, the probability of getting sum as 3 will be

Answers

Answered by nirman95
5

To find:

Probability of getting sum as 3 when two dice are thrown in air.

Calculation:

The total possible outcomes are :

 \rm{sample \: space =  {6}^{2}  = 36}

The whole sample space is:

(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 number of favourable outcomes :

 \rm{favourable \: outcomes = 2}

The favourable outcomes are :

(1,2) and (2,1)

So , probability P:

 \rm{P  = \dfrac{favourable \: outcome}{sample \: space} }

 =  >  \rm{P  = \dfrac{2}{36} }

 =  >  \rm{P  = \dfrac{1}{18} }

So, final answer is:

 \boxed{ \bf{P  = \dfrac{1}{18} }}

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