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
ddd [48]
3 years ago
6

Six​ stand-up comics,​ A, B,​ C, D,​ E, and​ F, are to perform on a single evening at a comedy club. The order of performance is

determined by random selection. Find the probability​ that:
(A) Comic F will perform fourth
(B) Comic D will perform fourth and Comic B will perform second.
(C) The comedians will perform in the following​ order: F, D, B, A, C, E.
(D) Comic C or Comic E will perform last.
Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:

a) 1/6

b) 1/36

c) 1/720

d) 1/3

Step-by-step explanation:

a) Any of the six comics can perform in the fourth place, so there is one chance in six that Comic F is the one that performs fourth.

P(F=4th)=1/6

b) In this case, we have two conditions. Both are independent of each other, so the probability of both happening is the product of the probabilities of each happening individually:

P(D=4th \&B=2nd)=P(D=4th)\cdot P(B=2nd)=(1/6)\cdot(1/6)=1/36

c) This combination is one in all possible orders of perform. The amount of combinations of orders is n!=6!=720 possible combinations. So the probability of this specific order is:

P(F, D, B, A, C, E)=1/720

d) In this case, of the six possible comics performing in the last place, we calculate the probability of 2 of them being in that place. So the probability is:

P(C=6th\,or\, E=6th)=2/6=1/3

You might be interested in
What is greater than 100 inches or 3 yards and one of the
Nutka1998 [239]
To compare units either of them have to change to be the same unit

either change inches to yards, or yards to inches.

1 yard is 36 inches, so
3 yards = 3 × 36 = 108 in

100 in < 108 in

3 yards is greater.


4 0
3 years ago
Read 2 more answers
Use the distance formula distance, to find the distance to the nearest tenth , between each pair of points A(6,2) and D(-3,-2)
marusya05 [52]

Answer:

The distance between A and D to the nearest tenth is;

9.8\text{ units}

Explanation:

Given the two points;

A(6,2)\text{ and D(-3,-2)}

Applying the distance between two points formula;

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

substituting the given coordinates we have;

\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}

Simplifying;

\begin{gathered} AD=9.8488578 \\ AD\approx9.8 \end{gathered}

Therefore, the distance between A and D to the nearest tenth is;

9.8\text{ units}

4 0
1 year ago
In the equation y = 1.9x, 1.9 represents the constant of proportionality Find the constant of proportionality for the ratio 2/5
Rasek [7]
The answer for this question is 0.76

Hope this helped
6 0
3 years ago
Plz someone help me.
satela [25.4K]
Hope this helps you! (and I'm right LOL)


5 0
3 years ago
The circumference of a circle is 15 meters. Determine the diameter. Use 3 for pie.
erik [133]

Answer:

4.77

if u use 3 for pie its 5

Step-by-step explanation:

formula is d=c/pie

so d=15/pie

d=4.77

5 0
3 years ago
Other questions:
  • Renaldo catches the bus at 4:00 pm to ride 3.2 miles from his house to the dentists office. he arrives at 4:30 pm, for a one hou
    6·1 answer
  • Plz help me im begging u to help
    15·2 answers
  • 2.6 as a repeating decimal into a simplified fraction
    7·1 answer
  • What two ratios are equivalent to 48:156
    8·1 answer
  • Does 3+ mean 3 and up or more than 3? This is a stupid question, but I don't remember lol
    7·2 answers
  • Which of the following is not a characteristic of the figure with vertices at coordinates A(1, 1), B(1, 2), C(2, 2), and D(2, 1)
    7·2 answers
  • HELPPPP THIS SO HARD
    9·1 answer
  • A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence
    15·1 answer
  • the perimeter of a rectangle is 68 cm. The length is 4cm more than its width. Find the dimensions of the rectangle
    5·1 answer
  • Can someone pls help with this tyyy
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!