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
Alchen [17]
3 years ago
11

1. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 6,

given that the green one is either 4 or 1.
2. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The red one is 6, given that the sum is 11.
Mathematics
1 answer:
butalik [34]3 years ago
4 0

Answer:

1. 1/6

2. 1/6

Step-by-step explanation:

Let A be the event that the sum of the two die is 6 and B be an event that the green die is either 4 or 1.

The conditional probability will be given by P (A/B) = P (A∩B)/ P (B).

Now the total sample space consists of 36 outcomes .

And to find (A∩B) we need to find the outcomes in which green die is either 4 or 1 and the sum of the two die is 6.

So when green is 1 red must be 5

So when green is 4 red must be 2

So there are two ways in which green die is either 4 or 1 and the sum of the two die is 6.

Therefore the probability of (A∩B)= P (A∩B)= 2/36= 1/18

Now we find the probability of green die having 4 or 1

So when green is 4 red can have all the numbers from 1- 6

And when green is 1 red can have all the numbers from 1- 6

The total number would be 12 .

So probability of green die having 1 or 4 is given by = P (B)= 12/36

Now the conditional probability = P (A/B) = P (A∩B)/ P (B)=1/18/ 1/3

= 3/18= 1/6

2. Similarly we find the conditional probability of the two die when the red one is 6, given that the sum is 11.

When red is 6 the green must be 5 to get 11. So the probability

=P (A∩B)=  1/36

Now we find the probability of red die having 6 =P(B)= 6/36

Now the conditional probability = P (A∩B)/P(B) =  1/36/ 6/36= 1/6

You might be interested in
Multiply.<br><br> ​3 2/3⋅3/4
Vlada [557]

Answer:

33/12  if simplified 2 3/4

Step-by-step explanation:

5 0
3 years ago
markus wants to get no less than 90 percent on his next test. Let x represent his possible score on the test
kherson [118]
X > 90 idk if thats what u mean or not
3 0
3 years ago
HELPP!!! 2 questions please!
OlgaM077 [116]

Answer:

Step-by-step explanation:

I need help with same question pleas.

5 0
2 years ago
What is 1.6 as a percentage
svlad2 [7]

Answer:

160%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the slope of a line that<br> goes through the two points<br> (-3, 6) and (2, -5).
irakobra [83]
Fbfbngngnhng bfbtyu 29
7 0
2 years ago
Read 2 more answers
Other questions:
  • Based on the graph which of the following statements are true
    14·2 answers
  • at 1200 hours in london it is 0400 hours in Los Angeles. What day and time is it in Los Angeles if it is 0630 hours on sunday in
    13·1 answer
  • Could you show an example of the problem?<br> Use a number line to solve 235 + 123
    13·1 answer
  • A company that sells annuities must base the annual payout on the probability distribution of the length of life of the particip
    14·1 answer
  • Which of the following are valid probability distributions for a discrete random variable
    12·2 answers
  • Solve the following equation for c.<br> E=mc^2
    10·1 answer
  • Which two angles do NOT represent adjacent angles?
    10·1 answer
  • 192=6000(.02(8/5-4Y)+.08y)<br> solve for y
    6·1 answer
  • 64 in the ratio 7 : 1
    10·1 answer
  • Rabbits can exhibit a number of colors in their coats: black, white, tan, brown, red, and grey. A disease randomly kills off mos
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!