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
vladimir1956 [14]
3 years ago
13

Consider a fair coin, such that the probability of observing a head or a tail in a random toss is 0.5. Consider an experiment in

which the coin is tossed twice and the two outcomes (O1 and O2) are recorded. Obviously, the probability of observing one head and one tails is 0.5 and the probability of observing both heads or both tails is 0.25 each. Consider the following two probabilities: Given the knowledge that there is at least 1 tails, the probability that there is one head observed is pa. If O1 is heads, the probability that O2 is tails is pb Which of the following statements are true: a) pa is 1/2 and pb is 1/2 b) pa is 1/3 and pb is 2/3 c) pa and pb are not equal d) pa is 2/3 and pb is 1/3
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Applying probability concepts, it is found that the correct statements are:

  • c) pa and pb are not equal
  • d) pa is 2/3 and pb is 1/3

-------------------------------------------

  • A probability is the number of desired outcomes divided by the number of total outcomes.

The sample space, that is, the possible outcomes for the coin tosses is given next, considering H for heads and T for tails.

H - H

H - T

T - H

T - T

-------------------------------------------

  • Considering that there is at least 1 tails, the new sample space is:

H - T

T - H

T - T

  • pa: probability of one head, two outcomes with 1 head out of three, thus, pa = 2/3.
  • pb: probability that the second is tails, so one outcome(T - T) out of three, thus pb = 1/3.

-------------------------------------------

The correct statements are:

  • c) pa and pb are not equal
  • d) pa is 2/3 and pb is 1/3

A similar problem is given at brainly.com/question/14798120

You might be interested in
Which of the following is equivalent to 5x - x + 3x = 30? A 8x = 30 o 7x = 30 с 3x + 5= 30 x = 30​
lyudmila [28]

Answer:

Step-by-step explanation:

5x -x + 3x =30,  first you combine like terms 5x + 3x-x=30

8x-x =30

8-1=7

7x=30

4 0
3 years ago
Read 2 more answers
If ben works for 12 hours, how much will he be paid?
Lelu [443]

Answer:

Mutiply this by whatever other value there is.

Step-by-step explanation:

5 0
3 years ago
I need to pass so can somebody answer this plz​
____ [38]

B. x = y

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
Evaluate 3 to the 2nd power plus 7 times 2
Olin [163]

Hey there!

3^2 + 7 • 2

3^2 = 3 • 3 = 9

9 + 7 • 2

7 • 2 = 14

9 + 14 = 23

Answer: 23 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

7 0
3 years ago
Read 2 more answers
Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Find the length of AC if A
elena-s [515]

Answer: AC=3.5

Solve proportionally:3 over 4 equals 1.5 over x.

3x= 6

6/3=2

X=2

2+1.5=3.5

6 0
3 years ago
Read 2 more answers
Other questions:
  • Rob colored one fourth of a rectangle.What is another way to name one fourth?
    5·1 answer
  • A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.
    9·1 answer
  • What is the answer :((
    11·1 answer
  • -3x + 4y = -6
    11·1 answer
  • In the complex number -12i. what is the real part?​
    11·1 answer
  • What is the degree measure of x? A) 37° B) 50° C) 62° D) 74°
    7·1 answer
  • The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(
    5·1 answer
  • Pls, help! I really need it! THANKS!! I'm giving 15 points + BRAINLIEST
    14·1 answer
  • Can someone please help me with this ! <br> ASAP
    14·1 answer
  • Solve the equation -4x^3=32
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!