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
tigry1 [53]
3 years ago
11

There is a 70% chance that a person eats dinner, a 50% chance a person eats dessert and a 35% chance the person will eat dinner

and dessert. Which of the following is true?
A. Eating dinner and eating dessert are dependent events because P(dinner)*P(dessert)=0.7*0.5=0.35 which is equal to P(dinner and dessert)=0.35.
B. Eating dinner and eating dessert are independent events becauseP(dinner)-P(dessert)=0.7-0.5=0.2 which is less than P(dinner and dessert)=0.35.
C. Eating dinner and eating dessert are dependent events because P(dinner)-P(dessert)=0.7-0.5=0.2 which is less than P(dinnerand dessert)=0.35.
D. Eating dinner and eating dessert are independent events because P(dinner)*P(dessert)=0.7*0.5=0.35 which is equal to P(dinnerand dessert)=0.35.
Mathematics
2 answers:
Sonja [21]3 years ago
6 0

From probability we know that if we have two independent events, A and B, then we know that to find the probability that two independent events will happen we multiply the probabilities of the two events.

Thus, to find the probability, P(A and B), we simply have to use the following equation:

P(A and B)=P(A)\times P(B)

Now, in our question, the situation is similar. We have been given that "There is a 70% chance that a person eats dinner, a 50% chance a person eats dessert and a 35% chance the person will eat dinner and dessert."

Let "A" be the event that a person eats dinner.

Let "B" be the event that a person eats dessert.

We can see that events A and B are independent events because a person who has dinner may not necessarily have desserts and vice versa.

Now, it has been given that P(A)=0.7 and P(B)=0.5. Therefore the probability that a person who has dinner will have dessert too will be given by:

P(A and B)=P(A)\times P(B)=0.7\times 0.5=0.35

Thus, out of the given options, only Option D is the correct option.


ivann1987 [24]3 years ago
3 0
I think the answer is A.
You might be interested in
The sum of 4 consecutive integers is -26.What are the integers
AnnZ [28]

Answer:

-38/4, -2 38/4, -4 38/4, -6 38/4

Step-by-step explanation:

x+(x+2)+(x+4)+(x+6) = -26

4x+12=-26

4x= -38

x=-38/4

7 0
3 years ago
In my number, the digit in the ones place is double the digit in the tens place. The sum of the digits is 3​
Marrrta [24]

Answer:

12

Step-by-step explanation:

2, the digit in the ones place is double 1, the digit in the tens place. 2 + 1 = 3.

Hope this helps!

4 0
3 years ago
Angel y Claudia están considerando contratar a un empleado que les ayude con el trabajo en el sibercafe han entrevistado a dos p
Anni [7]

Answer:

nose xd

Step-by-step explanation:

7 0
3 years ago
The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .
Zarrin [17]

Step-by-step explanation:

I think angle A = 21 degree

because in the question there is angle A Is twice means angle a + angle a= 4G degree

2 angle a=42 degree

42 divides by 2

answer is 21 degree

3 0
2 years ago
I need help its for 7th grade math​
Oliga [24]

Answer:

4:20

Step-by-step explanation:

because there are 20 teachers in all and 4 science teachers so your chances of getting a science teacher are 4 out of 20

5 0
3 years ago
Other questions:
  • 1 with 1 over 3 and 2 over 3
    9·1 answer
  • 3x + 4y = 27 5x - 3y = 16
    11·1 answer
  • What is the algebraic rule?
    14·1 answer
  • Choose the answer. 2. (1 pt) Frankie paid $11.75 for the movie ticket and $4.75 for popcorn and a drink. How much did Frankie sp
    11·1 answer
  • What value does the 3 represent in the number 16.344 ?
    6·1 answer
  • You spin the spinner shown to the right once. The spinner has 4 equal sectors colored pink, purple, blue, and green. What is P(N
    9·1 answer
  • The productivity of workers at a shoe factory in
    8·1 answer
  • Factor the linear expression 15x-10 using the greatest common factor of the terms
    14·1 answer
  • Please help 11 points worth
    11·2 answers
  • Which set of ordered pairs does not represent a function?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!