Which of the following are true? I. Two events are disjoint if they can’t both occur at the same time.
II. Two events are independent if they have the same probability.
III. An event and its complement have probabilities that always add up to 1.

A) I only
B) II only
C) III only
D) I and II only
E) I and III only

Answers

Answer 1

Answer:

Option E) I and III only is the correct answer

Step-by-step explanation:

First of all we have to define the disjoint events and independent events

Disjoint events:

Two events are said to be mutually exclusive or disjoint if they cannot occur at the same time. There will be no common elements in their outcomes.

Independent Events:

Two events are said to be independent if the probability of occurrence of one event doesn't affect the probability of occurrence of other event.

Moreover,

The sum of probability of an events occurrence and its complement is 1.

So by looking at the definitions we can say that statement I and statement III are true

Hence,

Option E) I and III only is the correct answer

Keywords: Probability, events

Learn more about probability at:

#LearnwithBrainly

Related Questions

Which is a quadratic function having a leading coefficient of 3 and a constant term of –12?
--+--+--+--+-- =30.Solve the puzzle with the--+--+--+--+-- =30.Solve the puzzle with the numbers(1,3,5,7,9,11,13,15).Numbers can be repeated.Only addition operation allowed.
A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours
Use a complete sentence to describe how axioms about addition in particular could be helpful in developing theorems about multiplication.
Can you help me with this please?6^3 simplified 6^2 simplified6^1 simplified 6^0 simplifiedType each answer to each problem

What is the half of 62

Answers

The half of the given term 62 is 31.

How to divide a quantity into finite equal parts?

Suppose that there are k things which are to be divided in P parts, then

will give the amount that each one of P parts would get from k, that will make equal distribution of k things in P parts.

The half of 62 can be calculated by dividing the given term by 2.

62 / 2 = 31

Thus, the half of the given term 62 is 31.

Learn more about division;

brainly.com/question/21416852

#SPJ2

The answer is 31. :)

Translate to the inequality a number is at least 8 the answer is _,_,_ (use x the variable)

Answers

x≥8
So x has to be at the VERY LEAST 8, so it can be 8, that's what the line under the greater than sign equals, but it can't be less than 8 so you would need the greater than sign not the less than

Help me bruhTwo waves with amplitudes of 75 units and 74 units arrive at a point in a medium simultaneously. If the two waves are out of phase with each other, what
is the resultant amplitude of the wave?

a. 74 units

b. 1 unit

c. 75 units

d. m149 units

Answers

I'm pretty sure the answer is B, cuz they'd crash together and become 1unit instead of two

Which problem is being modeled on the number line?

Answers

I don’t see a number line but I can help

Answer:

Step-by-step explanation:

Write 10 12/5 as an equivalent improper fraction

Answers

10 $(12)/(5)$ = $((10 X 5 ) + 12)/(5)$
= $(62)/(5)$

Choose the correct classification of 5x + 3x4 − 7x3 + 10 by number of terms and by degree.Third degree polynomial
Fourth degree polynomial
Sixth degree polynomial
First degree binomial