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
Tju [1.3M]
3 years ago
13

Three candidates run for different offices in different cities. Each has a one in three chance of being elected in his/her city.

What is the probability that at least one of them will be elected?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

P(1) = 1 - 8/27 = 19/27

The probability that at least one of them will be elected is 19/27

Step-by-step explanation:

the probability that at least one of them will be elected = 1 - probability that none of them will be elected.

P(1) = 1 - P(None) .....1

Let P(A), P(B) and P(C) represent the probability for each of the three candidates to be elected .

P(A) = P(B) = P(C) = 1/3

The probability for each of the three candidates not to be elected is

P(A)' = P(B)' = P(C)' = 1 - 1/3 = 2/3

P(None) = P(A)' × P(B)' × P(C)'= 2/3 × 2/3 × 2/3 = 8/27

From equation 1. Substituting the value of P(None)

P(1) = 1 - 8/27 = 19/27

The probability that at least one of them will be elected is 19/27

You might be interested in
PLEASE HELP ASAP!!
Art [367]

Answer:

See explanation

Step-by-step explanation:

A.  P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%

P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333....%

P(side)=25/30=5/6=83.33333333333...%

B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.

7 0
3 years ago
Find angle A and angle E
riadik2000 [5.3K]

Answer:

m∠A = 50°

m∠E = 50°

Step-by-step explanation:

7x - 17 and 2x + 8 are same side exterior angles. They have a sum of 180°.

7x - 17 + 2x + 8 = 180

9x - 9 = 180

9x = 189

x = 21

∠A and 7x - 17 are supplementary. ∠E and 2x + 8 are vertical angles.

m∠A + 7x - 17 = 180

m∠A + 7(21) - 17 = 180

m∠A + 147 - 17 = 180

m∠A + 130 = 180

m∠A = 50

m∠E = 2x + 8

m∠E = 2(21) + 8

m∠E = 42 + 8

m∠E = 50

8 0
3 years ago
Use the expression 9(7 + 2x) to answer the following:
oksian1 [2.3K]

Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).

Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).

Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.

4 0
3 years ago
Which one doesn’t belong??
Iteru [2.4K]

Answer:

40% OR -1/4

Step-by-step explanation:

It could be 40% as all the other numbers are in fraction form while this one is written as a percent.

It could also be -1/4 because that is the only negative number.

7 0
3 years ago
Read 2 more answers
6/8 ÷ 2/3 pleas help me​
butalik [34]

Answer:

\frac{6}{8}  \div  \frac{2}{3}

Simplify,

\frac{6}{8}    =  \frac{3}{4}

So now,

\frac{3}{4}  \div  \frac{2}{3}  \\  =  \frac{3}{4}  \times  \frac{3}{2} \\  =  \frac{3 \times 3}{4 \times 2}  \\  =  \frac{9}{8}  \\  = 1.125

7 0
3 years ago
Other questions:
  • Solve the equation: -x-10= -12
    7·1 answer
  • Kenny has $1,400 in the bank. He earns $150 every week at his afterschool job. What is the rate of change for the scenario descr
    7·1 answer
  • Alan has an annual base salary of $18,000. In addition to his salary, he earns 9% of his total sales (S). If he wants to earn at
    11·1 answer
  • Little bit more math hw
    14·1 answer
  • He uses 6 inches of yarn per bracelet. how many bracelets can sal make with 5 feet of yarn?
    14·1 answer
  • There are 35 people in a room. There are
    6·2 answers
  • HEY YOU! STOP YOUR SCROLLING AND HELP ME OUT?! PLEASE?!
    14·2 answers
  • Write the equation of a line perpendicular to y=2x-5 that passes through the point (-2,5)
    14·1 answer
  • Two lines intersect parallel lines m and n as shown. What is the value of x? A)24 B) 48 C)60 D) 66
    15·1 answer
  • Which pair of triangles can be proved congruent by sss?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!