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 $

Question

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).

Quizplus · Accepted Answer

The Answer of 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).

Suppose You and a Friend Each Choose at Random an Integer