Suppose You and a Friend Each Choose at Random an Integer

question 48

Short Answer

Suppose you and a friend each choose at random an integer between 1 and 8, inclusive. For example, some
possibilities are (3, 7), (7, 3), (4, 4), (8, 1), where your number is written first and your friend's number second.
Find the following probabilities: (a) $p ($ you pick 5 and your friend picks $8 )$ .
(b) $p$ (sum of the two numbers picked is $< 4$ ).
(c) $p$ (both numbers match).
(d) $p$ (the sum of the two numbers is a prime).
(e) $p$ (your number is greater than your friend's number).

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Definitions:

Innate Potential

The natural capacity or ability inherent in an individual from birth.

Style Of Life

A concept in Adlerian psychology describing a person's unique way of achieving superiority and dealing with their environment and challenges.

Compensation

The provision of something, typically money, awarded to someone as a recompense for loss, injury, or suffering.

Human Nature

The inherent characteristics, including ways of thinking, feeling, and acting, that all humans are believed to share.