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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 she got a total score as an odd number?


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a

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b

9 36  

c

1 36  

d

8 9   

answer is A.

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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.
There are 6 sides of a dice. Hence for the favourable outcomes all the possible outcomes from the 6 sides should be considered.
Find the total outcomes the total number of outcomes is given as

+ 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  

 When 2 dices will be thrown together, the outcomes will come as 6×6=36   Hence, the number of times the sum is odd is 10.
Probability of getting an odd number,
  Q( Getting an odd no.)= 10 36 = 5 18  
She gets the probability that the total score is odd is 5 18  .
Hence the option is 1.
 
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