Let X be the number of domestic projects selected. Then X is not a Binomial random variable.
What is a success? What is a failure?
"P(1 \\ domestic)={\\binom{3}{1}\\binom{6}{1} \\over \\binom{9}{2}}={3\\cdot6 \\over{9! \\over 2!(9-2)!}}={1 \\over 2}"
"P(2 \\ domestic)={3 \\over 9}\\cdot{3-1 \\over 9-1}={1 \\over12}"
Answer: X is not a Binomial random variable.
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