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
Repost this for help
inna [77]

Answer:

I'm sorry I don't know if I do get an idea I'll come back and edit

Step-by-step explanation:

3 0
3 years ago
Side a=15 and side b=20 what is side c
Ne4ueva [31]
Answer: 25

Explains:

Use: a^2+ b^2= c^2

7 0
2 years ago
Which of the following is the inverse of y=3x
Keith_Richards [23]
Y/3=x or y divided by 3 is equals x. They are the same thing just but the equation in word form. 
8 0
3 years ago
Read 2 more answers
Please explain how to get the answer
meriva
Q must be positive in F.

F. r squared will be positive, because any number times itself is positive, and to get a positive number for the answer, the two numbers you multiply need to be the same sign. If r squared is positive, q must be too. 

G. q does not have to be positive. If r is a negative number, then q can be negative. Say q=-2 and r=-3. -2-(-3) changes to -2+3, which equals 1.

H. Again, q can be negative if r is negative (two negative numbers multiplied together equals a positive answer.

J. q can be negative because even a negative number turns positive when squared.

Hope this helped you. :)

8 0
3 years ago
A chemist has three different acid solutions. The first acid solution contains 25%
PilotLPTM [1.2K]
Solution:
Let the volume (in litres) of acids used be:
x1=amount of 25% acid
x2=amount of 40% acid
x3=3*x2=amount of 60% acid
8 0
2 years ago
Other questions:
  • Describe the better buy if you plan to buy lots of milk. Support your answer with tables,
    6·1 answer
  • 1. Sort the numbers into 2 groups, rational or irrational. Write the numbers in the appropriate bubble.
    5·1 answer
  • What is 28% as a fraction or mixed number in simplest form
    12·2 answers
  • 28x^2 - 5x - 3 = 0 what is the answer
    11·1 answer
  • A relation that is symmetric with respect to the x-axis CANNOT be a function,
    6·2 answers
  • You walk 1.5miles in a half an hour. What is your average speed?
    13·2 answers
  • What is the constant of variation for y=4x?
    11·1 answer
  • How much was earned after 5 hours of work?
    6·2 answers
  • The table shows the change in the amount (in gallons) of gasoline in a car over a period of five days. What is the total change
    15·1 answer
  • G^2+(-4g^4)+5g+9+(-3g^3)+3g^2+(-6)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!