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
ValentinkaMS [17]
3 years ago
10

g A law firm has six senior and seven junior partners. A committee of three partners is selected at random to represent the firm

at a conference. What is the probability that at least one of the junior partners is on the​ committee?
Mathematics
1 answer:
expeople1 [14]3 years ago
5 0

Answer:

133/143

Step-by-step explanation:

Let S be the sample space

Let E be the event of selecting three committee partners with at least one junior partner.

Partners in the law firm include:

Senior partners = 6

Junior partners = 7

Total partners = 13

n(S) = number of ways of selecting 3 partners from 13 = 13C3

n(S) = 13C3 = 13!/(10!3!) = (13x12x11)/(3x2x1) = 286

To get n(E) i.e least 1 junior partner in the selected committee, we may have:

(2 senior and 1 junior) or ( 1 senior and 2 junior) or (3 junior).

Therefore, the required number of way is given below:

= (6C2 x 7C1) + (6C1 x 7C2) + 7C3

= [(6x5)/2 x 7] + [6 x (7x6)/2] + [(7x6x5)/(3x2)]

= 105 + 126 + 35

n(E) = 266

Therefore, the probability P(E) that at least one of the junior partners is on the​ committee is given below:

P(E) = n(E) /n(S)

P(E) = 266/286

P(E) = 133/143

You might be interested in
Find the value of in the triangle below ! help pls Asap!!
Murrr4er [49]

Answer:

I think it might be 24.5

jxjzjdjdksnxjksndjsknejcjsjw

3 0
3 years ago
Read 2 more answers
What is the sum of a 56-term arithmetic sequence where the first term is 6 and the last term is 391?
Sati [7]
S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=6;\ n=56;\ a_{56}=391\\\\subtitute\\\\S_{56}=\dfrac{6+391}{2}\cdot56=\dfrac{397}{2}\cdot56=397\cdot28=11,116
7 0
3 years ago
Read 2 more answers
Will mark brainliest for whoever answers correctly
siniylev [52]
I think it is D:{5,-infinity}
6 0
2 years ago
Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr
jenyasd209 [6]

Answer:  x ≥ 6

<u>Step-by-step explanation:</u>

12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

<u>-2x  +12</u>  <u>-2x +12 </u>

3x         ≥       18

<u>÷3         </u>     <u>    ÷3 </u>

   x         ≥       6

Graph: 6 -----------→   the dot is closed (filled in) since it is "equal to"

3 0
3 years ago
At school, the maximum number of students that can be in a classroom is 21. If there are 16 students signed up for the geometry
nalin [4]

Step-by-step explanation:

Simple

We will subtract

21 - 16 = 5

So 5 more students can join the class

7 0
3 years ago
Other questions:
  • A girl has 3 shirts (red, yellow, blue) and 6 pairs of socks (red, blue, green, orange, white, black). What is the probability h
    14·1 answer
  • you are making curtains by alternating strips of solid colored fabric and patterned fabric. the solid colored fabric costs 99¢ p
    7·1 answer
  • Una casa de ropa tiene todos sus artículos en liquidación por cambio de temporada. El cartel de la puerta dice: 20% de descuento
    15·1 answer
  • Gas Costs $2.88 per gallon. Albert filled up his car for $43.20. How many gallons of gas did he get?
    9·2 answers
  • 459 divided by 3 how to show your work on paper
    9·1 answer
  • How do you solve 4.6(x-3.4)&gt;5.1x
    9·1 answer
  • If total Revenue is $3000, Cost of Goods is $1500, and total Selling Expense is $500; what is the Profit for the business?*
    9·2 answers
  • Which is an example of volume?
    15·2 answers
  • PLEASE HELP <br>4. Nuts.com sells almonds for $
    8·1 answer
  • Simplify this expression √x4y12
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!