Question

if two dice are rolled what is the probability of getting sum of 6 given that atleast one dice shows 2?

Answer 1

Probability the dice shows 2=1/6
If at least one dice show two and getting the sum 6 then it will be either
4,2 or 2,4
so the answer is 2(1/6)(1/6)

Answer 2

didnt get it two dice are rolled.

Answer 3

now the condition:
1. Sum=6
2. At least one must be 2

so there is two possibility:
1. we get 2 first and then get 4
2.we get 4 first and then get 2

Probability of 1.:
(1/6)(1/6)=1/36
Probability of 2.:
(1/6)(1/6)=1/36

Total probability= 1/36+1/36=1/18

Answer 4

i'm not too good at probability but isn't this conditional probability?
you are given that 1 dice is 2 so should not the 1/6 's be added?

Answer 5

@cwrw238 you are right.