Question

You roll a blue die and a yellow die. What is

P(the sum of the dice is at least 6 | the blue die shows a 4)?

Answer 1

give me one minutes

Answer 2

2/3

Answer 3

two die = 12 12/6=2 12/4=3 so 2/3

Answer 4

Thank you ! @fabo

Answer 5

welcome

Answer 6

S=the sum of the dice is at least 6
B= the blue die shows a 4
want to find:
P(the sum of the dice is at least 6 | the blue die shows a 4)
=P(S|B)

\( P(S\cap B) =|{(2,4),(3,4),(4,4),(5,4),(6,4)}|\ /\ 36 \\
={\large \frac{5}{36}} \\
P(B)=\frac{1}{6} \\
\ \\
But\ since \\
P(S|B)=\frac{P(S\cap B)}{P(B)} \\
= {\large \frac{\frac{5}{36}}{\frac{1}{6}} } \\
= \large \frac{5}{6}
\)

Answer 7

thanks! @mathmate

Answer 8

You're welcome!