I need help on this question for homework.

Question

You're a player in a video game and have the option to choose from 7 character options (elf, dwarf, human, ranger, wizard, mage, sorcerer) and 4 weapons options (axe, shield, spear, staff).

What is the probability that you will not be a wizard or use a axe?

Answer 1

P(W) = 1/7 = about 14.3%

W= Wizard

P(A)= 1/4 = 25%

A=axe

P(A&W) = (1/7)(1/4) = 1/28 = about 3.6%

P(A or W) = P(A) + P(W) - P(A&W) = 1/7 + 1/4 - 1/28 = (4+7-1)/28 = 10/28 =5/14

= 25+14.3 = 39.3 - 3.6 = 35.7

1=39.6 = 64.3%

P(not A & not W) = 1- 5/14 = 9/14

= about 64.29% chance of neither an axe or wizard

= almost 2/3 chance