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
FIND the value of x. DO NOT POST ANY FILES
spayn [35]

Answer:

Step-by-step explanation:

The tangent segment is perpendicular to the diameter, so the triangle is a right triangle (not just based on its appearance).  A property of circles is:  a tangent is perpendicular to the radius drawn to the point of tangency.

In the right triangle, one leg has length 12.6, and the hypotenuse has length 21.

Apply the Pythagorean Theorem:  (leg)^2 + (leg)^2 = (hypotenuse)^2

Oh, and the diameter has length 2x!

(2x)^2+12.6^2=21^2\\\\4x^2+158.76=441\\\\4x^2=282.24\\\\x^2=70.56\\\\x=\sqrt{70.56}\\\\x=8.4

7 0
3 years ago
4) 0= 4 +n/5 what is n
WARRIOR [948]

Answer:

n=-20

Step-by-step explanation:

First subtract four from both sides then you'll get

-4=n/5

Second multiply 5 to both sides then you'll get

n=-20

7 0
2 years ago
Which of the following best describes the expression 6(y + 3)?
Luda [366]
<span>The product of a constant factor of six and a factor with the sum of two terms, because 6* the sum of y+3.
</span>
7 0
3 years ago
Read 2 more answers
Eight women and six men apply for a job at Google. Four of the applicants are selected for interviews. Let X denote the number o
Free_Kalibri [48]

Answer:

See below

Step-by-step explanation:

images attached showing all working

a) The possible values of X are as follows

X = {0,1,2,3,4}

P(x) = P(X=x)

b) The cdf in this case, as in the F(x), comes out to be a step function graph on the basis of values obtained from the probability mass function.

c) To find out the probability when more women are interviewed than me, add together the matrices from when value of X is equal to 2, 3 and 4 (from part a).

7 0
3 years ago
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1 4 14 that height. Which of these statements
MAXImum [283]
Hi there!
The correct answer (the statement that is not true): The volume of the smaller cone cannot be determined because it’s height is unknown.
Hope this helps and have a good day :) !
~Angel
4 0
3 years ago
Other questions:
  • ASAP! Please help me!!!
    9·1 answer
  • Use the distributive property for 4*29=
    5·1 answer
  • Determine whether (6,4) is a solution to the following system of linear equations: x + y=10.....x-y=-2*
    6·1 answer
  • Is 6 a solution to the equation below. Yes or No?<br><br> 6x + 4 = 42
    10·1 answer
  • some friends go to the store to buy school supplies. Noel spends 4.89. Holly spends 3 times as much as Noel/ Kris spends $ 12.73
    13·2 answers
  • HELP PLZ MATH IS HARD!! :(
    7·1 answer
  • There is a line whose slope is 10 and whose y-intercept is 2. What is its equation in
    14·2 answers
  • 6.7.35
    14·1 answer
  • One hundred sixty people who suffer from painful diabetic neuropathy have volunteered to participate in a study. Eighty are sele
    15·1 answer
  • Please help answer all of the following multi-step equations correctly
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!