Suppose that a fair, 6 sided die is rolled. Let X indicate the event that an even number is rolled (in other words, X = 1 if an even number is rolled and X = 0 otherwise). Let Y indicate the event...

Suppose that a fair, 6 sided die is rolled. Let
X
indicate the event that an even number is rolled (in other words,
X
= 1 if an even number is rolled and
X
= 0 otherwise). Let
Y
indicate the event that 1, 2, or 3 is rolled (in other words,
Y
= 1 if 1, 2, or 3 is rolled and
Y
= 0 otherwise). Find
P
(X
= 0,
Y
= 1).

a)
¹⁄₃

b)
⁵⁄₆

c)
¹⁄₆

d)
¹⁄₂

e)
²⁄₃

f) None of the above

PLEASE SOLVE BOTH!