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
inna [77]
4 years ago
10

Discuss the validity of the following statement. If the statement is always​ true, explain why. If​ not, give a counterexample.

If Upper P (Upper E )plus Upper P (Upper F )equals Upper P (Upper E union Upper F )plus Upper P (Upper E intersect Upper F )​, then E and F are mutually exclusive events.
Mathematics
1 answer:
Zigmanuir [339]4 years ago
3 0

Answer:

P(E \cup F)=P(E)+P(F).

Step-by-step explanation:

Given the statement

If P(E)+P(F)=P(E \cup F)+P(E \cap F), then E and F are mutually exclusive events.

If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.

Therefore, the statement is always true as P(E∩F)=0

For mutually exclusive events:

P(E \cup F)=P(E)+P(F).

You might be interested in
Find the inequality represented by the graph - khan academy<br> PLEASE HELP
Andru [333]

Answer:

y ≤ x - 1

Step-by-step explanation:

The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.

5 0
3 years ago
Sam went for a ride on a sailboat the ride lasted 3/4 hour . what fraccion is equivalent 3/4
Trava [24]

Some fractions are 6/8, 9/12 and 12/16

All you have to do is multiply a number by the numerator and denominator

4 0
3 years ago
Tina loves to read. Before breakfast, she read 21/2 pages, at lunch she read 31⁄5 pages, and after dinner she read 11⁄3 pages. H
MrMuchimi

Answer: 7 1/30

Step-by-step explanation:

Tina loves to read. Before breakfast, she read 2 1/2 pages, at lunch she read 3 1/5 pages, and after dinner she read 1 1/3 pages. To find the total, we add all the pages together. This will be:

2 1/2 + 3 1/5 + 1 1/3

The LCM of 2, 5 and 3 is 30.

= 2 15/30 + 3 6/30 + 1 10/30

= 6 31/30

= 7 1/30.

5 0
3 years ago
Name a number that has a prime factorization with three distinct factors
yanalaym [24]
210 Has 3,5,7 As Prime Factors

5 0
3 years ago
The slope of the line that contains the points (2, 14) and (3, 20) is 6. What is the y-intercept?
boyakko [2]

Answer:

B. 2 [0, 2]

Step-by-step explanation:

Plug the coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

20 = 6[3] + b

18

2 = b

y = 6x + 2

__________________________________________________________

14 = 6[2] + b

12

2 = b

y = 6x + 2

** You see? I told you that it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

8 0
3 years ago
Other questions:
  • A 10-oz bottle of shampoo costs $2.40 and a 12-oz costs $2.64. Find the unit of rate for each. Explain which bottle has the lowe
    12·1 answer
  • Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once. Write about what addi
    15·2 answers
  • 200 grams of fertilizer are used for each tree in an orchard containing 1200 trees. at $2.75 per kilogram of fertilizer, how muc
    6·1 answer
  • T=1/p+1/q <br>make q the subject​
    7·1 answer
  • Answer this for me asap if u answer is correct i will thank u and mak it the branliest
    7·1 answer
  • Pete's Plumbing charges a $150 inspection fee plus $60 per hour. Paul's Plumbing charges a $90 inspection fee plus $75 per hour.
    14·1 answer
  • If ABCD is a parallelogram, m A<br> B<br> (3x + 4)º<br> D<br> xº<br> C<br> Equation:<br> X=<br> (PLEASE HELP)
    6·1 answer
  • Find the missing number sequence
    15·1 answer
  • John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00
    14·2 answers
  • Ill give brainliest to first right answer!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!