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
Triss [41]
2 years ago
12

A teacher student committee consisting of 4 people is to be formed from 5 teachers and 20 students. Find the probability that th

e committee will consist of at least one student.​
Mathematics
1 answer:
antiseptic1488 [7]2 years ago
5 0

Answer:

99.96%

Step-by-step explanation:

Given the information:

  • 5 teachers
  • 20 students
  • 4 people in committee

=> the are 25 people in total

Hence, the total possible outcomes of all the members in the 4 committee:

C^{4} _{25}  = 12650

They want us to find the probability that the committee will consist of at least one student, which means that

=(Total possible outcome - committee with no student) / Total possible outcomes

So we need to find the possible outcomes of committee with no student:

= C^{4} _{5}  =5

=> the probability that the committee will consist of at least one student.

= (12650 - 5) / 12650

= 0.9996

= 99.96%

Hope it will find you well.

You might be interested in
Consider an m-by-n chessboard with m and n both odd. To fix the notation, suppose that the square in the upper left-hand corner
beks73 [17]

There are two cases to consider.

A) The removed square is in an odd-numbered column (and row). In this case, the board is divided by that column and row into parts with an even number of columns, which can always be tiled by dominos, and the column the square is in, which has an even number of remaining squares that can also be tiled by dominos.

B) The removed square is in an even-numbered column (and row). In this case, the top row to the left of that column (including that column) can be tiled by dominos, as can the bottom row to the right of that column (including that column). The remaining untiled sections of the board have even numbers of rows, so can be tiled by dominos.

_____

Perhaps the shorter answer is that in an odd-sized board, the corner squares are the ones that there is one of in excess. Cutting out one that is of that color leaves an even number of squares, and equal numbers of each color. Such a board seems like it <em>ought</em> to be able to be tiled by dominos, but the above shows there is actually an algorithm for doing so.

7 0
3 years ago
Simplify the expression:<br><br> 1.8-8.8g+7g+10.4+5.3g
worty [1.4K]
3.5g+12.2 is the simplified expression I believe
7 0
2 years ago
ANSWER FAST!
salantis [7]

Answer:C

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A rectangle has vertices at these coordinates.
kompoz [17]
(6,2) is the fourth vertex
8 0
3 years ago
Read 2 more answers
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. U
babunello [35]

Answer:

Step-by-step explanation:

We can solve this question using proportion

Perimeter of the square/Time is takes to unlock

We are told in the question that:

The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.

Hence, the perimeter of the square after 1.5 seconds is:.x = unknown

32/2.5 = x/1.5

Cross Multiply

2.5x = 32 × 1.5

x = 32 × 1.5/2.5

x = 19.2 centimeters

4 0
2 years ago
Other questions:
  • Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
    11·2 answers
  • Given (x-1)^2=50, select the values of x
    15·1 answer
  • Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per
    9·2 answers
  • Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She
    15·1 answer
  • What is the product of 2x + 3 and 4x2 − 5x + 6
    11·1 answer
  • A 3lb bag of red onions cost $1.38. What is the unit price?
    14·2 answers
  • Help me out pls &amp; thanks
    14·1 answer
  • It’s due in 9 mins lol help
    15·1 answer
  • Algebra 1
    11·1 answer
  • Jeff volunteers his time
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!