Latest TCS Aptitude Question SOLUTION: 10. A six faced die is so biased that it is twice as likely to show an even number as an odd. It is thrown twice. What is the probability that the sum of the numbers is even? a) 1

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10. A six faced die is so biased that it is twice as likely to show an even number as an odd. It is thrown twice. What is the probability that the sum of the numbers is even?
a) 1/3 b) 2/3 c) 5/9
d) 6/11

Asked In TCS Soumen Maity (8 years ago)

Solved RADHIKA G Read Solution (7)

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Read Solution (7) :

kalpana  (8 years ago)

Probability of getting an even number = 2/3
Probability of getting an odd number = 1/3
since the dice is biased.
The sum is even if
(even,even) or (odd,odd)
[P(even).P(even)] + [P(odd).P(odd)]
2/3 * 2/3 + 1/3 * 1/3 = 4/9 + 1/9 = 5/9

Is this solution Helpfull? Yes (49) | No   

RADHIKA G  (8 years ago) Best Solution

((2/3).(2/3))+((1/3).(1/3)=5/9

Is this solution Helpfull? Yes (7) | No (4)  

B.sudarsana kapoor  (6 years ago)

Probability for odd = p
∴ Probability for even = 2p
∵ p + 2p = 1
⇒ 3p = 1
⇒ p = 1/3

∴ Probability for odd = 1/3, Probability for even = 2/3.
Sum of two nos. is even means either both are odd or both are even

Is this solution Helpfull? Yes (5) | No   

vinod  (8 years ago)

die is biased i.e twice for even so 4/6 = 2/3
for odd = 2/6 =1/3
prob of even = o*o or e*e
2/3*2/3+1/3*1/3=5/9

Is this solution Helpfull? Yes (2) | No   

Nabajyoti sahoo  (8 years ago)

(1,1) (1,3) (1,5) 2,2 2,4 2,6 like this we can get 18 no of sets . Total no of possible outcome is 6x6 36
So It should be 18/36 = 1/2
Why 5/9 ? Please explain

Is this solution Helpfull? Yes (1) | No (1)  

bhumika  (4 years ago)

Probability for odd = p
∴ Probability for even = 2p
∵ p + 2p = 1
⇒ 3p = 1
⇒ p = 1/3

∴ Probability for odd = 1/3, Probability for even = 2/3.
Sum of two nos. is even means either both are odd or both are even
so The sum is even if
(even,even) or (odd,odd)
[P(even).P(even)] + [P(odd).P(odd)]
2/3 * 2/3 + 1/3 * 1/3 = 4/9 + 1/9 = 5/9

Is this solution Helpfull? Yes (1) | No   

Sudhir Gupta   (8 years ago)

5/9 is d ri8 Answer

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