![kedjenpierrelouis](/avatars/14063.jpg)
kedjenpierrelouis
09.12.2019 •
Mathematics
How do i know when to use addition or subtraction when doing compound event probability?
Solved
Show answers
More tips
- G Goods and services How to Choose the Right High Chair for Your Baby?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- S Style and Beauty How to braid friendship bracelets?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- C Computers and Internet How to Learn to Type Fast?...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- D Dating, Love, Relationships How to Overcome Jealousy: Tips and Tricks...
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- W Work and Career How to Start Your Own Business: Tips and Recommendations...
- F Food and Cooking How to Make Delicious Cabbage Pies: The Best Recipes!...
Answers on questions: Mathematics
- M Mathematics Do my boys got me? Also giving brainliest ! Need D, E, and F...
- M Mathematics A 172 ft. building casts a 444 ft. shadow from the sun. To the nearest tenth of a degree, what is the angle of depression? Help pls...
- M Mathematics Which function has the greatest average rate of change over the interval...
- M Mathematics Sally goes to the store and buys a camera for $65. The store is running a discount of 10%. What is the price of the camera after the discount?...
- M Mathematics Here is the rest of the passages for PLEASE HELP I GOTTA GET THIS DONE BEFORE THE FIRST PT.2...
- M Mathematics Ms. Owens has some pencils . She give 5 of them away. Now she has 13 pencils left. How many pencils did she start with? I need a Equation with unknown...
- M Mathematics There were 19,748 adults at the baseball game. There were 5,136 fewer children at the baseball gamr than adults. How many children were at the baseball game...
- M Mathematics Mr. motley is tweaking the final exam he intends to give to his Algebra 2 students. The current test has 10 multiple choice and 7 free response questions. He would like that ratio...
- M Mathematics What is 267 multiplied by 48...
- M Mathematics 2.4, -3.4, -9.2, -15, - 20.8, If the pattern continues, which expression can be used to find the nth term?...
Ответ:
Addition Rule 1:
When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event.
P(A or B) = P(A) + P(B)
Addition Rule 2:
When two events, A and B, are non-mutually exclusive, the probability that A or B will occur is:
P(A or B) = P(A) + P(B) - P(A and B)
In the rule above, P(A and B) refers to the overlap of the two events.
A student goes to the library. The probability that she checks out (a) a work of fiction is 0.40, (b) a work of non-fiction is 0.30, and (c) both fiction and non-fiction is 0.20. What is the probability that the student checks out a work of fiction, non-fiction, or both?
Solution: Let F = the event that the student checks out fiction; and let N = the event that the student checks out non-fiction. Then, based on the rule of addition:
P(F ∪ N) = P(F) + P(N) - P(F ∩ N)
P(F ∪ N) = 0.40 + 0.30 - 0.20 = 0.50
Subtraction Rule:
The probability that event A will occur is equal to 1 minus the probability that event A will not occur.
P(A) = 1 - P(A')
Suppose, for example, the probability that Bill will graduate from college is 0.80. What is the probability that Bill will not graduate from college? Based on the rule of subtraction, the probability that Bill will not graduate is 1.00 - 0.80 or 0.20.
Ответ: