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natta225 [31]
3 years ago
7

Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following event

s: A:{ The sum of the numbers is odd } B:{ The sum of the numbers is 10 or more } C:{ A 3 appears on each of the two dice }

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

Step-by-step explanation:

The sample space is shown in the attached photo.

Probability = number of favourable outcomes/total number of outcomes.

Looking at the diagram, the total possible outcomes is 36.

A) from the diagram, the total number of events in which the sum of the numbers is odd is 18. Therefore, the probability that the sum of the numbers is odd is

18/36 = 1/2

B) the total number of events in which the sum of the numbers is 10 or more is 6. Therefore, the probability that the sum of the numbers is 10 or more is

6/36 = 1/6

C) the total number of events in which 3 appears on each of the two dice is 1. Therefore, the probability that 3 appears on each of the two dice is

1/36

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In 2012, New York had a population of about 19 million people,
alexandr1967 [171]

Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

7 0
2 years ago
I need to solve for 3x+7=-x-1
Andrew [12]

3x+7=-x-1

move -x to the other side

sign changes from -x to +x

3x+x+7=-x+x-1

3x+x+7=-1

4x+7=-1

move 7 to the other side

sign changes from +7 to -7

4x+7-7=-1-7

4x=-8

Divide by 4 for both sides

4x/4=-8/4

Answer: x=-2

3 0
2 years ago
Are the following functions linear or nonlinear?
exis [7]

Answer:

The chart is linear, the graph is not.

Step-by-step explanation:

Because the graph is curved and not straight, it is non-linear. You can also tell that this is non-linear because the rate of change, or slope, is inconsistent. The chart is linear because it has a consistent slope. I hope this helps, have a nice day. :-)

8 0
3 years ago
Modrater give me answer<br><br>if 2x- 35273 = 5361925 than find the value of 1x <br><br>​
Nutka1998 [239]

Answer:

2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x =  \frac{5397198}{2}  \\ x = 2698599

4 0
3 years ago
Read 2 more answers
100 Brainliest up for grabs to person who can answer all of these with no links:
kogti [31]

Using a discrete probability distribution, it is found that:

a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

c) The expected value is of 1.3 lawns mowed on a randomly selected day.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:

  • P(X = 0) = 0.2.
  • P(X = 1) = 0.4.
  • P(X = 2) = 0.3.
  • P(X = 3) = 0.1.

Item a:

P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

Item b:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8

There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

Item c:

The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:

E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.

The expected value is of 1.3 lawns mowed on a randomly selected day.

More can be learned about discrete probability distributions at brainly.com/question/24855677

6 0
2 years ago
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