Q.

Two different dice are thrown together, the probability of getting a total of 6 or 7 of the numbers on two dice is


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a

11 36

b

10 36

c

1 36

d

13 36  

answer is A.

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Detailed Solution

Given that 2 dices are thrown. And one die has 6 faces.
Total numbers of outcomes when throwing n no. of dice together = 6 n .
The total number of possible outcomes when throwing two dice together is n S = 6 2 =36 .
The possible outcomes when two dice are thrown simultaneously is  Question ImageThe Probability of occurrence of an event E is P(E)= n(E) n(S) .
Favorable outcomes are, 1,5 , 1,6 , 2,4 , 2,5 , 3,3 , 3,4 , 4,2 , 4,3 , 5,1 , 5,2 , 6,1
Now, the number of outcomes of getting a total of 6 or 7 of the numbers on two dice =11 P (Getting a total of 6 or 7 of the numbers on two dice) = 11 36 Hence, the probability of getting a total of 6 or 7 of the numbers on two dice is 11 36 .
Therefore, option 1 is correct.
 
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