Math, asked by devashish8892, 1 year ago

a die is thrown twice. what is the probability of the events (getting a doublet)

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Answered by MANIKANDAN21
49
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Answered by tardymanchester
24

Answer:

\text{Probability}=\frac{1}{6}

Step-by-step explanation:

Given : A die is thrown twice.

To find : The probability of the events (getting a doublet)

Solution :  

When two dice rolled once the outcome will be,

(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)  

Now,  

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

The probability of the events (getting a doublet)

Favorable outcome are :  (1,1) ,(2,2), (3,3), (4,4), (5,5), (6,6)

So, Favorable outcome = 6

Total number of outcome = 36

\text{Probability}=\frac{6}{36}

\text{Probability}=\frac{1}{6}

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