Question

You are rolling two number cubes. Let event A
𝐴
be the sum of the rolled numbers is 7 and event B
𝐵
be the first number is 4. Find the probability P(A and B)
𝑃
(
𝐴

and

𝐵
)
and determine whether events A
𝐴
and B
𝐵
are independent.

Enter the first answer as a decimal rounded to the nearest hundredth.

(1 point)
P(A and B)=
𝑃
(
𝐴

and

𝐵
)
=
;
Enter 1 if events A
𝐴
and B
𝐵
are dependent. Enter 2 if events A
𝐴
and B
𝐵
are independent

Answer 1

P(A and B) = 0.03 (since only outcome (4,3) → 1/36 ≈ 0.0278 ≈ 0.03).
Events A and B are independent, so enter 2.