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
Advocard [28]
3 years ago
10

Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number

. P(A) = .33 Round your answer to two decimal places. B. Let B be the event that the sum of the two dice is at most 7. P(B) = Round your answer to two decimal places. C. Are A and B mutually exclusive events? (Yes or No) yes D. Are A and B independent or dependent events? (Independent or Dependent)

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

A.

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

B.

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

C.

Are A and B mutually exclusive events?

No since their intersection is not empty, for example (3,1) belongs to both A and B

D.

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36  

whereas

P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72

So A and B are not independent.

You might be interested in
I need help with this question can you help me
Debora [2.8K]

Answer:

28.26ft

Step-by-step explanation:

A=πr^2

π*3^2=28.27433

28.26

6 0
3 years ago
I need help plz help
ivanzaharov [21]

Answer:

B. 70%

Step-by-step explanation:

7/10 of the numbers are more than 5

7/10= 70%

5 0
2 years ago
Read 2 more answers
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
My name is Ann [436]
<h3>Answer:  (2x)^3</h3>

Work Shown:

x = some unknown number

2x = twice the number

(2x)^3 = cubing the previous result

If you want to simplify this expression, then you would get 8x^3 since 2^3 = 8.

4 0
2 years ago
What is the distance between the tick marks on the number line?
lora16 [44]

Answer:

1/5

Step-by-step explanation:

2 units divided into 5 marks each = 10 marks

2/10 = 1/5 unit each mark

4 0
1 year ago
Read 2 more answers
Help pleasee having a bad day,and really stressed out
Virty [35]

Answer:

anything :)))

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for y. 8x+y=15
    5·2 answers
  • 7/10 divided by -0.75
    15·2 answers
  • HELP! PLEAAAAAAAAASEE
    15·1 answer
  • Determine the number of solutions that exist to the equation?
    10·1 answer
  • Keith has $400. Andrew has 3/4 as much as Keith. If Andrew gives 15% to Kevin how much does he have
    13·1 answer
  • Can you guys help me??? 6 = -5 + u. What is u???
    8·1 answer
  • I ordered 8 pizzas for my son’s birthday party. Each pizza had 8 slices. If my son and his friends ate 47 slices of pizza at the
    11·1 answer
  • 8/3​ c−2= 2/3 ​ c−12
    9·1 answer
  • Inverse proportion
    8·1 answer
  • What is the correct answer?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!