Four Balls Are Numbered 1 Through 4 and Placed in a Box

question 4

Short Answer

Four balls are numbered 1 through 4 and placed in a box. Two balls are selected without replacement.
Find the probability that
(a)the sum of the numbers is even.
(b)the number on the second ball is less than the number on the first ball.
(c)the sum of the numbers on both balls is greater than 3.

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Definitions:

Clairvoyance

The supposed ability to gain information about an object, person, location, or event through psychic means, not through the known senses.

Telepathy

The supposed communication of thoughts or ideas without using the known senses or physical interaction, often considered a paranormal phenomenon.

Psychokinesis

The purported ability to move or manipulate objects with the mind without any physical interaction.

ESP

Extra-Sensory Perception, a claimed ability to gain information through means other than the known human senses.