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
yan [13]
3 years ago
8

There are five Oklahoma State Officials: Governor (G), Lieutenant Governer (L), Secretary of State (S), Attorney General (A), an

d Treasurer (T). Take all possible samples without replacement of size 3 that can be obtained from the population of five officials. (Note, there are 10 possible samples!)
(a) What is the probability that the governor is included in the sample?
(b) What is the probability that the governor and the attorney general are included in the sample?
Mathematics
1 answer:
docker41 [41]3 years ago
8 0

Answer:

a) 0.6

b) 0.3

Step-by-step explanation:

Since we are taking 3 from a sample of 5 without replacements, we would have 5 choices for the first pick, 4 choices for the 2nd pick and 3 choices for the 3rd pick. The total possible number of ways to do this is:

5*4*3 = 60 ways

As order does not matter (GLS is the same as GSL), we divide this by the number of ways the 3 picks can be arrange, which is 3*2*1 = 6

So there are 60/6 = 10 possible samples

(a) If the governor is included in the sample, then we only have 4 choices for the 2nd pick and 3 choices for the 3rd pick. And there are also 2 ways to arrange this.

So there are 4*3/2 = 6 possible samples. The probability of this happening is 6/10 = 0.6

(b) If G and A are included, we only have 3 choices for the last pick. So the probability of this to happen is 3/10 = 0.3

You might be interested in
WHo wants some freee points?
FromTheMoon [43]

Answer:

meeeeeeeeeeeeee

Step-by-step explanation:

thank you so much have a great day

7 0
2 years ago
Read 2 more answers
PLEASE SHOW FULL SOLUTIONS!!! WILL MARK BRAINLIEST!!! SHOW ALL STEPS!!! THANK YOU!!!
ELEN [110]

9514 1404 393

Answer:

  a) BE = 5; DE = 6; EF = 4

  b) ∠EFC ≅ ∠DA.F ≅ ∠BDE  or  <em>b = e = f = i</em>

Step-by-step explanation:

Each short segment is the same length as the marked one it is parallel to.

  E is the midpoint of BC, so BE = EC = 5.

  ADEF is a parallelogram, so DE = A.F = 6.

  D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...

     EF = AD = 4

__

As we have noted, AB║EF and DE║A.F, so corresponding angles and alternate interior angles are congruent. <em>b = e = f = i</em>

5 0
3 years ago
Am I right? What is the slope of a line that is perpendicular to a line whose slope is −6?
ipn [44]
Your right it’s correct
8 0
3 years ago
For what value of x does 3^4x – 27x-3?
AveGali [126]

Answer:

x=0,05555555... or x = 3/54 or x= 1/18

Step-by-step explanation:

81x-27x-3

54x=3

8 0
3 years ago
Read 2 more answers
During the election for class president, 40% of the students voted for jennifer, and 60% of the students voted for kevin. 300 st
Sholpan [36]
120 students voted for Jennifer and 180 students voted for Kevin. 60 students voted more for Kevin than for Jennifer.
3 0
2 years ago
Other questions:
  • One of every 20 customers reports poor customer service on your company’s customer satisfaction survey. You have just created a
    13·2 answers
  • Ok so if you have an equation with a variable on both sides like this : 5x-6=2x
    14·1 answer
  • What should NOT be considered when calculating the monthly cost of owning a car?
    10·1 answer
  • Day people The chart shows how many people have signed up to go on a field trip each day. How many people would you expect to si
    14·2 answers
  • The ratio of boys to girls in a class is 3:4. There are 35 students in the class.
    10·2 answers
  • The relay race is just over one mile long, approximately yards. If Jack and 4 other people each run a leg of the relay, how many
    10·2 answers
  • Solve this problem step by step.<br> 2x^3+17x^2+30x
    6·1 answer
  • Simplify (-8q3,4s2)2 = ?<br> A. -649-1654<br> B. 6496854<br> C. -6496854<br> D. 6499-1684
    13·1 answer
  • Think About the Process At a little-known vacation spot, taxi fares are a bargain. A 28-mile taxi
    9·1 answer
  • PLEASE CHOSE THE RIGHT ANSWER AND EXPLAIN WHY YOU CHOSE IT PLEASE
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!