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
astraxan [27]
3 years ago
5

In a math class, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. What is the probability that in a randomly

selected group of five students from the class, there will be two freshmen girls and three freshmen boys? Express your answer as a common fraction.
Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

P(2FG|3FB) = \frac{605}{7917}

Step-by-step explanation:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.To calculate combinations the below  formula is used:

nCr = \frac{n!}{r!(n-r)!}

where n represents the total number of items and r represent the number of items being chosen at a time. The '!' represents factorial function which is the product of all integers equal to and less than the given integer. This can be calculated manually using the formula or by using the nCr function on a scientific calculator.

Thus, the number of ways to select 2 freshmen girls (2FG) and 3 freshmen boys (3FB) can be determined. The number of ways to select 5 students (5S) can be determined in the same way.

2FG = 12C2 = \frac{12!}{2!(12-2)!} = \frac{12!}{2!(10)!} = 66

3FB = 11C3 = \frac{11!}{3!(11-3)!} = \frac{11!}{3!(8)!} = 165

5S = 30C5 = \frac{30!}{5!(30-5)!} = \frac{30!}{5!(25)!} = 142506

The probability of selecting 2 freshmen girls (2FG) and 3 freshmen boys (3FB) when selecting 5 students out of 30 is given as below:

P(2FG|3FB) = \frac{2FG*3FB}{5S} = \frac{66*165}{142506} = \frac{605}{7917}

You might be interested in
3x-4y=28 find slope intercept form
Helen [10]
First you have to subtract 3x and then divide everything by -4 to get y=3/4x-7
6 0
3 years ago
Please help me this is for 95 points ​
uranmaximum [27]
Y=12
The angles are 45°, 114°,105°,96° & 84°
7 0
2 years ago
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
kykrilka [37]

Answer:

therefore the population of the culture is 2313

5 0
3 years ago
Emily gad a decorative box that is shaped like a cube with a height of 5 inches. What’s the surface area of the box?
lina2011 [118]

times the length by width and you will get your answer use a calculator that will be the answer

4 0
3 years ago
Jameson has 4300 in credit card debt with 14% interest that he wants to pay off in 24 months. He will need to make monthly payme
lakkis [162]

Answer:

Total cost of repayment  = 4955.04

Net interest paid = 655.04

Step-by-step explanation:

Given

Amount taken on loan = 4300

Repayment plan

Monthly installment= 206.46

Yearly installment  = 206.46 * 12 = 2477.52

Rate of interest per year = 14 %

Time Period for repaying the loan = 2 years

The total amount repaid by Jameson at the rate of 206.46 per month for next 24 months

= 206.46 *24\\= 4955.04

Net interest paid

= 4955.04 - 4300\\= 655.04

Total cost of repayment  = 4955.04

Net interest paid = 655.04

8 0
3 years ago
Other questions:
  • Can someone help me i am confused
    8·1 answer
  • The area of a square is 49 square inches. Find the number of inches in the length of a diagonal. Express your answer in simplest
    12·1 answer
  • It is: THE SUM OF THREE CONSECUTIVE NUMBERS IS 78 WHAT IS THE SMALLEST OF THREE NUMBERS?
    14·2 answers
  • Nick has to build a brick wall. Each row of the wall requires 62 bricks. There are 10 rows in the wall. How many bricks will Nic
    6·2 answers
  • The prices of two radios are in the ratio x:y
    15·2 answers
  • Estimate the sum or difference<br> 8/9 +4/7=
    7·1 answer
  • PLEASE ANSWER ASAP !!!!!
    15·2 answers
  • Help me please new topic
    11·1 answer
  • Gordon types 2,584 words in 38 minutes.
    8·1 answer
  • Write an equation that you can use to solve for x.<br><br> Enter your answer in the box.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!