A pair of dice is rolled. Find the probability P(A|B) if:

A: 2 appears on atleast one die.
B: Sum of numbers appearing on die is 8.

Question

A pair of dice is rolled. Find the probability P(A|B) if:

A: 2 appears on atleast one die.
B: Sum of numbers appearing on die is 8.

anonymous · Answer

no matter what i do my answer always come 1/3 which is wrong and these are the choices:
1/12
1/6
1/36
2/5

ganeshie8 · Answer

P(A | B)  means

Find the probability of A, given that event B has already occurred

ganeshie8 · Answer

B: Sum of numbers appearing on die is 8.

ganeshie8 · Answer

list down all the outcomes of `B`

ganeshie8 · Answer

can u ?

anonymous · Answer

P(b)=6 and P(a)=12 but P(A & B)= 2 so P(A|B) gotta be 2/6=1/3   which ain't the answer....so i am confused

ganeshie8 · Answer

how did u get 6 for b ?

ganeshie8 · Answer

im getting 5 outcomes for b :
```
(2, 6)
(3, 5)
(4, 4)
(5, 3)
(6, 2)
```

anonymous · Answer

ohh i see...so i have not to calculate (4,4) 2 times....coz i thought that they need to be counted separately

anonymous · Answer

so the answer is 2/5 ?

anonymous · Answer

yes

anonymous · Answer

$$P=\frac{ Favourable   }{ total }$$