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
Reika [66]
3 years ago
15

If two standard six-sided dice are tossed, what is the probability that a 5 is rolled on at least one of the two dice? express y

our answer as a common fraction.
Mathematics
1 answer:
zaharov [31]3 years ago
6 0
We define the probability of a particular event occurring as:
\frac{number\ of \ desired\ outcomes}{number\ of\ possible\ outcomes}

What are the total number of possible outcomes for the rolling of two dice? The rolls - though performed at the same time - are <em>independent</em>, which means one roll has no effect on the other. There are six possible outcomes for the first die, and for <em>each </em>of those, there are six possible outcomes for the second, for a total of 6 x 6 = 36 possible rolls.

Now that we've found the number of possible outcomes, we need to find the number of <em>desired</em> outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is <em>at least one 5 rolled</em>. It turns out, there are only 3:

(1) D1 - 5, D2 - Anything else, (2), D1 - Anything else, D2 - 5, and (3) D1 - 5, D2 - 5

So, we have \frac{3}{36} = \frac{1}{12} probability of rolling at least one 5.
You might be interested in
What is the approximate area of the shaded sector in the circle shown below
Novay_Z [31]

Answer:

please provide the diagram

3 0
2 years ago
Read 2 more answers
What is the value of k ?
seropon [69]
K=10
Here is the equation

180-115=65

(4K+5)+(6k+10)+65=180
8 0
3 years ago
PLEASE HELP
valina [46]

Answer:

each side of the patio measures ft.

5 0
2 years ago
Read 2 more answers
What’s the answer to this!!!
aliina [53]

Answer:

8.54

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

Answer:

y = \frac{1}{2}x - 8

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

Substitute in the slope,

y = \frac{1}{2}x + b

Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

3. Putting it all together,

Now, that one has y-intercept, (-8); use the given slope and the formula y = mx + b,  substitute in all the information.

y = \frac{1}{2}x - 8

7 0
3 years ago
Other questions:
  • According to the graph, how much did individuals making $20,000 to $50,000 a year pay in income taxes? According to the graph, h
    5·1 answer
  • Can someone help me with this
    10·2 answers
  • What's the answer to this question= 4(3x + 2) + 2(x + 3)
    14·1 answer
  • What is the reflection image of R across the y-axis?<br> (-2, 0)<br> (-3, -2)<br> (0, 2)<br> (3,2)
    14·2 answers
  • -2(5+6g) equivale expression
    13·1 answer
  • Select all the pairs of like terms in the expression<br> Lots of points
    14·1 answer
  • What is the measure,in degrees of Angle X?Help me please I put the picture!
    11·1 answer
  • Helppp please needed before tomorrow!!!!!!!!!!​
    8·1 answer
  • A. 10%<br> B. 21%<br> C.30%<br> D.34%<br> E.49%
    7·2 answers
  • Lonna's rectangle measures 2 1/4 units by 4 1/2 units. what is the area?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!