Question

You roll a red die and a green die. What is the size of the sample space of all possible outcomes of rolling these two dice, given that the red die shows a prime number and the green die shows an odd number?

Answer 1

lets put the red die first
prime numbers between 1 and 6 are 2, 3, and 5

Answer 2

yep

Answer 3

odd numbers for the green die are 1,3 and 5

Answer 4

so by the counting principle there are \(3\times 3=9\) possibilities all together

Answer 5

yea...

Answer 6

\((\color{red}{2},\color{green}{1})\), (\(\color{red}{2},\color{green}{3})\), \((\color{red}{2},\color{green}{5})\)
\((\color{red}{3},\color{green}{1})\), \((\color{red}{3},\color{green}{3})\), \((\color{red}{3},\color{green}{5})\)
\((\color{red}{5},\color{green}{1})\), \((\color{red}{5},\color{green}{3})\), \((\color{red}{5},\color{green}{5})\)

Answer 7

so thats it? 9?

Answer 8

that's it

Answer 9

wow i feel dumb...

Answer 10

Thanks though