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Q.

A die is numbered in such a way that its faces show the 1,2,4,4,6,6. Reema threw the die two times, total score in two throws noted as the following table given below. What is the probability that her total score is at least 8?


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a

8 9  

b

5 9  

c

1 9  

d

4 9    

answer is B.

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Detailed Solution

Given, a die is numbered in such a way that its faces show the 1,2,4,4,6,6. Reema threw the die two times, total score in two throws noted as the following table given below.
We know that,
 Probability =  Number of favourable outcomes   Total number of outcomes   

Find the total outcomes

+ 1 2 4 4 6 6 1 2 3 5 5 7 7 2 3 4 6 6 8 8 4 5 6 8 8 10 10 4 5 6 8 8 10 10 6 7 8 10 10 12 12 6 7 8 10 10 12 12  

The total number of possible outcomes is 36.
So, the number of times the sum will be at least 8 is = 20
Hence, the probability is given as
 Probability  =  Number of favourable outcomes   Number of possible outcomes  = 20 36 = 5 9  
She gets the probability that the total score is at least 8 is 5/9.
Hence, the correct option is 2.
 
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