Question

The Venn diagram represents the results of the experiment of rolling two fair, six-sided number cubes and adding the sum of the two rolls. Consider event A
𝐴
as “sum is odd” and event B
𝐵
as “sum is 6 or greater.” Find the probability that the sum is odd, given that the sum is 6 or greater.

(1 point)
Responses

312
3
12

Start Fraction 3 over 12 End Fraction

35
3
5

Start Fraction 3 over 5 End Fraction

37
3
7

Start Fraction 3 over 7 End Fraction

512
5
12

Start Fraction 5 over 12 End Fraction
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Item
1
, Fully Attempted.
Item
2
, Fully Attempted.
Item
3
, Unattempted.
Item
4
, Unattempted.
Item
5
, Unattempted.



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Answer 1

P(A|B) = P(A ∩ B) / P(B).

Outcomes with sum ≥ 6: totals 6–12 have counts 5+6+5+4+3+2+1 = 26.
Odd sums ≥ 6 are 7,9,11 with counts 6+4+2 = 12.

So P(A|B) = 12/26 = 6/13.