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
iren [92.7K]
3 years ago
14

You roll a pair of fair dice until you roll “doubles” (i.e., both dice are the same). what is the expected number, e[n], of roll

s?
Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

We need to define our outcomes and events.

 

Finding the probability<span> of each event occurring separately, and then multiplying the probabilities is the step to <span>finding  the probability</span> of two independent events that occur in sequence.

</span>

<span>
To solve this problem, we take note of this:</span>

 

The roll of the two dice are denoted by the pair

(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }

Each pair is an outcome. There are 36 pairs and each has probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has probability p= 6/36 = 1/6. If we define ”doubles” as a successful roll, the number of rolls N until we observe doubles is a geometric (p) random variable and has expected value E[N] = 1/p = 6.

You might be interested in
Can someone help me with number 1?
prohojiy [21]

Answer:

a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal figure.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 7 to her number and multi
Nuetrik [128]

Answer:

2(n+7)=4

Step-by-step explanation:

n is the number

7 0
2 years ago
Which ratio is equivalent to 1 : 8
Bezzdna [24]

Answer: 2:16

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Rhianon plays a game the probability she will lose is 0.32 and the probability she will draw is 0.05 Rhianon plays the game 200
Evgen [1.6K]
She will win 126 times. hope i helped
5 0
3 years ago
The mean lengthy of Beethovn's symphonies is37 minutes
erastova [34]
Everything is between 1 and 73 so it would be 3
5 0
2 years ago
Other questions:
  • ASAP NEED HELP PLEASE OH AND THIS IS 7TH GRADE MATH SO YEAH HELP
    12·1 answer
  • there are 146 students taking buses to the museum.if each bus holds 24 students,how many buses will they need?
    15·1 answer
  • Write the following number in standard form. three and fifteen hundredths 3.15 3.015 315 3.105
    10·1 answer
  • The complement of an angle is five times the measure of the angle itself find the angle
    10·2 answers
  • What is the volume of the rectangular prism, in cubic cm?<br> 9 cm<br> 4 cm<br> 12 cm
    13·1 answer
  • What is the value of y?
    11·2 answers
  • Help me plz i dont understand how t=40​
    13·1 answer
  • First-person to answer correctly with and explanation get Brainliest
    5·2 answers
  • Which number line represents the solution to the inequality -7x-1326-7x - 13 28?
    5·1 answer
  • Sam purchased a video game for $19.99 but paid $22.65. Sam paid $<br> in sales tax.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!