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
adelina 88 [10]
2 years ago
8

Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even

t that at least one of the dice results in 6 spots on its upward face, and E be the event that exactly one of the dice results in 6 spots on its upward face, give the value of P(E|A). (Note: This value can be easily obtained by looking at p. 2.3 of the class notes and using a reduced sample space. In fact, such an approach makes the solution so trivial, that for this problem, you don’t have to give any justification for your answer.)
Mathematics
1 answer:
Allushta [10]2 years ago
7 0

Answer:

P(E|A)= \frac{10}{11}

Step-by-step explanation:

Given

Two rolls of die

E \to one of the outcomes is 6

A \to atleast one is 6

Required

P(E|A)

First, list out the outcome of each

E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}

So:

P(E|A)= \frac{n(E\ n\ A)}{n(A)}

Where:

E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

n(E\ n\ A) = 10

n(A) = 11

So:

P(E|A)= \frac{10}{11}

You might be interested in
Find the next three terms.<br> -32, -16, -8,...
gtnhenbr [62]

Answer:

-4,-2,-1

Step-by-step explanation:

The next term is going to be the previous number divided by two

8 0
3 years ago
The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool in
sleet_krkn [62]

Answer:

Step-by-step explanation:

Download pdf
3 0
3 years ago
Plane AXS intersects with which planes? More than 1 answer.
Nata [24]

Answer:

Options A and Option B

Step-by-step explanation:

All four sides AX, IX, IS and AS of the base are common in the four side walls of the prism.

In other words, edge AX is common in planes AXU and AXS,

Edge XI is common in planes XIB and AXS,

Edge SI is common in planes EBS and AXS,

Edge AS is common in planes CEA and AXS.

Therefore, plane AXS is intersecting planes AXU and EBS.

Options A and Option B are the correct options.

8 0
3 years ago
Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or 1 key chain. She w
Anon25 [30]
There will be 50 gift bags.

The first set of 25 bags
----------------------------------
Because there are 25 thumb drives, the first 25 bags will each have 1 thumb drive.
Also, each bag will have 5 times as many key chains as a thumb drive. Therefore each of the first 25 bags will have 
1 thumb drive, 5 key chains.

After the first 25 bags, we have used
25 thumb drives, 5*25 = 125 key chains.

The second set of 25 bags
----------------------------------------
We have a total of 200 key chains, so we have 200-125 = 75 key chains left.
Distribute them equally among the remaining 25 bags, so each bag has
75/25 = 3 key chains.

Answer:
25 bags, each with 1 thumb drive and 5 key chains.
Another 25 bags, each with 3 key chains.

4 0
3 years ago
Read 2 more answers
Write an inequality that represents the fact that while making your product
Helga [31]

Answer:

x \leq 40 / 0.25\\ x \leq 160\\

Step-by-step explanation:

If the spending limit is $ 40 and making each beads costs $ 0.25, then the amount of accounts you must do  multiplied by the manufacturing cost should not exceed $ 40.

Then the inequation that this restriction would represent is:

0.25x\leq 40\\

Where x is the number of beads made.

This could also be written more specifically:

x \leq 40 / 0.25\\ x \leq 160\\

Therefore the number of beads must be less than or equal to 160

7 0
3 years ago
Other questions:
  • There are 90 people in the lunchroom. If there are 9 times as many students as teachers, how many students are in the lunchroom?
    15·1 answer
  • Solve the system of equations.
    11·1 answer
  • Margie saves $7.25 of her allowance each week. Write an expression to represent the situation
    10·1 answer
  • Three less than a number n is -16
    11·1 answer
  • Question 4................................(2)
    10·1 answer
  • The junior class at Summerfield High School sold a total of 375 tickets for their spring festival. The adult tickets sold for $7
    12·1 answer
  • Which inequality is graphed below?
    13·1 answer
  • What is the slope of the line that passes through the points (2,0) and (32,-5)?
    5·1 answer
  • Find the perimeter of the triangle
    12·1 answer
  • ALGEBRA
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!