The digits

1,

3,

4,

8,

and

9

are randomly arranged to form a five-digit number. Complete parts (a) and (b) below.

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Part 1

(a) Find the probability that the number is

even.

The probability that the number is

even

is

enter your response here.

(Type an integer or a simplified fraction.)

Part 2

(b) Find the probability that the first and last digits of the number both are

even.

The probability that the first and last digits of the number both are

even

is

enter your response here.

(Type an integer or a simplified fraction.)