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
andrew-mc [135]
3 years ago
12

Mr. Harrow has eight boys and six girls in his Honors Pre-calculus class. If he randomly chooses two students, one at a time, wh

at is the probability that they are both girls?
A)
11/14

B)
15/91

C)
15/98

D)
74/91

Mathematics
2 answers:
guapka [62]3 years ago
8 0

|\Omega|=C(14,2)=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\|A|=C(6,2)=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\P(A)=\dfrac{15}{91}\Rightarrow \text{B}

Sergeu [11.5K]3 years ago
5 0

Answer: 15/91 which is choice B

=================================================================

There are two methods to find this answer.

Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91

--------------------

Method 2) We can use the nCr combination formula. Order does not matter.

We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)

Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)

So that's another way to get the answer 15/91.

You might be interested in
15x5>75 truth or false
Leokris [45]

Answer:

False

Step-by-step explanation:

6 0
2 years ago
Any chance anyone can help me if the last question I had post
german
Yes i can the answer would be question
6 0
3 years ago
You are making picnic baskets.The list shows the items you are putting into the baskets.You want identical groups of items in ea
coldgirl [10]

Answer:

apples

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
How do i find the inverse function of h(x) =(5-2x^2)/(3x+10)
sergeinik [125]
Inverse function: you need to exchange the position of x and y, in other words,

x = (5-2y^2)/(3y+10) , then, if you need a representation of y with respect to x, then you need to perform some math.
5 0
3 years ago
5. Classify each triangle by its angle and sides
PIT_PIT [208]

Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

Equilateral - All sides and angles are congruent

Isosceles: Two congruent sides and two congruent angles

Scalene: No congruent sides or angles

Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )

obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )

Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.

3 0
3 years ago
Other questions:
  • In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14
    15·2 answers
  • Suppose x is uniform random variable with values ranging from 20 to 60. find the probability that a random selected observation
    9·1 answer
  • Mr. Timmons wanted to fence in his rectangular back yard so that his son could play soccer. He bought 180 feet of fencing, which
    15·1 answer
  • A restaurent pays a water R18 per hour in one week he worked a shift from 12h00 to 23h00 Calculate the number of hours the water
    8·1 answer
  • Patrick bought a new fish and a cube shape tank for it. If the tank has a height of 17 inches, how much water will Patrick need
    8·2 answers
  • Very much need help
    5·1 answer
  • For each expression, use the distributive property to write an equivalent expression.
    11·2 answers
  • According to the table, what was the hiker’s total displacement?
    11·1 answer
  • For the polyhedron, use Euler's Formula to find the missing number.
    10·1 answer
  • 3. A-line segment has endpoints A(–2, 3) and B(6, –1):
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!