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
Tanya [424]
3 years ago
14

If you roll a pair of fair dice, what is the probability of each of the following? (round all answers to 4 decimal places, .XXXX

)
a) getting a sum of 1?
b) getting a sum of 5?
c) getting a sum of 12?
Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Answer:  The required probabilities are

(a)~0\\\\(b)\dfrac{1}{9},\\\\(c)~\dfrac{1}{36}.

Step-by-step explanation:  Given that a pair of fair dice is rolled.

We are to find the probability of getting

(a) getting a sum of 1.

b) getting a sum of 5.

c) getting a sum of 12.

Let S be the sample space for the experiment of rolling a pair of fair dice.

Then, S = {(1,1), (1,2), (1,3), (1, 4), (1,5), (1,6), .  . . , (6,5), (6,6)}.

And, n(S) =36.

(a) Let E denote the event of getting a sum of 1.

Since the sum of the numbers on two dice is minimum 2, so

E = { }  ⇒  n(E) = 0.

Therefore, the probability of event E is

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{0}{36}=0.

(b) Let F denote the event of getting a sum of 5.

Then,

F = {(1,4), (2,3), (3,2), (4,1)}  ⇒  n(F) = 4.

Therefore, the probability of event F is

P(F)=\dfrac{n(F)}{n(S)}=\dfrac{4}{36}=\dfrac{1}{9}.

(c) Let G denote the event of getting a sum of 12.

Then,

G = {(6,6)}  ⇒  n(G) = 1.

Therefore, the probability of event G is

P(G)=\dfrac{n(G)}{n(S)}=\dfrac{1}{36}.

Thus, the required probabilities are

(a)~0\\\\(b)\dfrac{1}{9},\\\\(c)~\dfrac{1}{36}.

You might be interested in
Mark makes $60 for every six hour shift he works. How much will he make if he works an eight hour shift
Illusion [34]

Answer:

Mark will make $80 if he works an eight-hour shift.

Step-by-step explanation:

For every six hour shift he works, Mark makes $60

This implies that for every hour, he makes $10 ($60/6)

Therefore, for working an eight-hour shift, Mark will make $80 ($10 * 8) or ($60/6 * 8).

We can conclude that Mark's employer pays him $10 per hour.

This hourly rate can be used to work out how much Mark will earn if he works for a month or a year, as the case may be.

7 0
2 years ago
Can someone help me please. I can give you extra points. Message me or text me on snap anja4life. To help me with more please
Tju [1.3M]
<h3>Answer:  8</h3>

=====================================

Work Shown:

y = 192\left(4^{x-3}\right)\\\\196,608 = 192\left(4^{x-3}\right)\\\\\frac{196,608}{192} = 4^{x-3}\\\\1024 = 4^{x-3}\\\\4^{x-3} = 1024\\\\\log\left(4^{x-3}\right)=\log\left(1024\right)\\\\(x-3)*\log\left(4\right)=\log\left(1024\right)\\\\x-3=\frac{\log\left(1024\right)}{\log\left(4\right)}\\\\x-3=5\\\\x=5+3\\\\x=8\\\\

It will take 8 hours for the population to reach 196,608 bacteria.

3 0
2 years ago
Explain why the commutative property does not work for subtraction or division
nirvana33 [79]

Answer:The reason there is no commutative property for subtraction or division is because order matters when performing these operations.

Step-by-step explanation:

3 0
3 years ago
The rent was increase by 7,5 what will be the new rent price​
Shkiper50 [21]

Answer:

Is this the full question?

Step-by-step explanation:

5 0
3 years ago
Is Frieda’s work correct? Explain how she can check her solution.
lyudmila [28]

Answer:

Frieda's work is correct.

Step-by-step explanation:

z+22= 64 can also be z= 64-22

64-22= 42

Meaning, z= 42

42+22-22= 64-22

42= 42

7 0
3 years ago
Read 2 more answers
Other questions:
  • Select the ordered pair that is not a solution to the equation 4x+3y= -12
    8·1 answer
  • Plesssssssss help with my math problem
    10·2 answers
  • The distance from the green point on the parabola to the parabolas focus is 9 what is the distance from the green point
    12·1 answer
  • A catering business charges $50 to cater a meal for an event. The business also charges $12.50 per person for dinners that inclu
    13·1 answer
  • Factor. 2x2−3x−5 (2x+5)(x−1) (x−5)(2x+1) (2x−5)(x−1) (2x−5)(x+1)
    12·2 answers
  • Month
    15·2 answers
  • Guys I need help on this question
    9·1 answer
  • PLEASE SOMEONE HELP!!!!
    15·1 answer
  • Solve 3.3w - 9 &gt; -22.2 (explanation please)
    7·2 answers
  • Find the zeros of the function by first factoring the polynomial.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!