Using the following sample space: {(V,V), (V,C), (C,V), (C,C)}. Define the random variable for picking an outcome of vowel.

Question

Answers are:

X=0,1,2

X=2

X=4

X=1,2

Answer 1

for (C,C) there are 0 chances of getting a vowel

for (C,V) and (V,C) there is 1 chance of getting a vowel

for (V, V) there are 2 chances of getting a vowel

hence random variable is X = {0,1,2}

note: that P(X=0) = P(X=2) = 1/4, and P(X=1) = 2/4