1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bulgar [2K]
3 years ago
8

Events a, b, and c in a sample space have p(a)=0.2, p(b)=0.4, and p(c)=0.1. find p(a ∪ b ∪

Mathematics
1 answer:
Julli [10]3 years ago
3 0
If A and B are mutually independent, then \mathbb P(A\cup B)=\mathbb P(A)+\mathbb P(B) and \mathbb P(A\cap B)=0.

If A and C are independent, then \mathbb P(A\cap C)=\mathbb P(A)\cdot\mathbb P(C). Ditto for B and C.

The inclusion/exclusion principle says that

\mathbb P(A\cup B\cup C)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\mathbb P(A\cap B)-\mathbb P(A\cap C)-\mathbb P(B\cap C)+\mathbb P(A\cap B\cap C)

Since A and B are mutually exclusive, their intersection is the empty set. It then follows that A\cap B\cap C also is the empty set, so the last probability is also 0.

Plug in what we know:

\mathbb P(A\cup B\cup C)=0.2+0.4+0.1-0-0.2\cdot0.1-0.4\cdot0.1+0

\implies\mathbb P(A\cup B\cup C)=0.64
You might be interested in
Find the quotient of 3/5 and 2/3<br> Give your answer as a fraction in its simplest form.
maria [59]
The quotient is 9/10
6 0
2 years ago
Find the solution Y=-3x-5 y=9x+7 and show on graph
slava [35]

Answer:

(-1, -2)

Explanation:

5 0
3 years ago
What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
Kazeer [188]
Y = -2/3x + 5....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the slope and change the sign. So our perpendicular line will have a slope of 3/2 (see how I flipped -2/3 making it -3/2....and then changed the sign, making it 3/2)

y = mx + b
slope(m) = 3/2
(8,1)....x = 8 and y = 1
now we sub and find b, the y int
1 = 3/2(8) + b
1 = 12 + b
1 - 12 = b
-11 = b

so ur perpendicular equation is : y = 3/2x - 11 <==
5 0
3 years ago
Read 2 more answers
Can someone help with this equation?
Setler [38]

Answer:

OK what is equation ??????

6 0
3 years ago
a store sells new DVDs for $12 each. used DVDs sell for $7 each. Joseph is buying two new DVDs and X used DVDs. write an equatio
vagabundo [1.1K]
Given that new DVDs are selling for $12 and used for $7, then Joseph is buying:
12·2 + 7<em>x </em>= 

7 0
3 years ago
Read 2 more answers
Other questions:
  • Select the correct answer.
    6·1 answer
  • Factor completely 3x 2 + 2xy - y 2
    9·2 answers
  • Pls pls pls pls help me i nerd help asap i will give BRAINLIEST!!!!!!
    10·2 answers
  • HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 WILL GIVE BRAINLIEST AND WILL HELP U BACK WITH QUESTIONS!!! I NEED HELP ITS URG
    9·1 answer
  • Eric's notebook has 30 pages he wants to write a number on each page starting with one how many digits will he right when he num
    10·2 answers
  • The figure above is a regular octagon with radii and a apothem drawn what is m&lt;1
    10·1 answer
  • Please help me with this. Method included please
    12·2 answers
  • Relation between inputs and outputs
    8·1 answer
  • Please this is due today.
    9·2 answers
  • Question 25. A segment of a circle is the portion formed by the sector and 4 points
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!