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
Murrr4er [49]
3 years ago
13

In a certain Algebra 2 class of 29 students, 7 of them play basketball and 24 of them play baseball. There are 3 students who pl

ay neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
6 0

Answer:

\frac{5}{29}

Step-by-step explanation:

Let n(A) represent students playing basketball, n(B) represent students playing baseball.

Then, n(A)=7, n(B)=24

Let n(S) be the total number of students. So, n(S)=29.

Now,

P(A)=\frac{n(A)}{n(S)}=\frac{7}{29}

P(B)=\frac{n(B)}{n(S)}=\frac{24}{29}

3 students play neither of the sport. So, students playing either of the two sports is given as:

n(A\cup B)=n(S)-3\\n(A\cup B)=29-3=26

∴ P(A\cup B)=\frac{n(A\cup B)}{n(S)}=\frac{26}{29}

From the probability addition theorem,

P(A\cup B)=P(A)+P(B)-P(A\cap B)

Where, P(A\cap B) is the probability that a student chosen randomly from the class plays both basketball and baseball.

Plug in all the values and solve for P(A\cap B) . This gives,

\frac{26}{29}=\frac{7}{29}+\frac{24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{7+24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{31}{29}+P(A\cap B)\\\\P(A\cap B=\frac{31}{29}-\frac{26}{29}\\\\P(A\cap B=\frac{31-26}{29}=\frac{5}{29}

Therefore, the probability that a student chosen randomly from the class plays both basketball and baseball is \frac{5}{29}

You might be interested in
5x-6=24<br> What’s the answer
Ad libitum [116K]

Answer:

x = 6

Step-by-step explanation:

5x = 24 + 6

5x = 30

5x/5 = 30/5

x = 6

6 0
3 years ago
Read 2 more answers
Help on math question please ( ASAP )
Deffense [45]
Using the formula of the cone and cylinder given in my book, I've managed to give you an answer which is 4189 or to be exact 4188.80 as i used the information given to solve this problem
4 0
3 years ago
What is 9/136 in simplest form??
Scrat [10]

Answer:

but it is in simplest form¿ can u explain more

Step-by-step explanation:

7 0
2 years ago
MANSAH OBTAINED 150 MARKS OUT OF 240 MARKS IN AN ENGLISH TEST. WHAT WAS HER PERCENTAGE SCORE?​
Zanzabum

Answer:

62.5%

Step-by-step explanation:

150/240 x 100

5/8 x 100

= 62.5%

3 0
2 years ago
Which is a function which isnt one ?
PolarNik [594]

Answer:

first is not a function, second is and third isn't.

3 0
3 years ago
Other questions:
  • How do you write 96 / 6 in different ways
    10·2 answers
  • Which statements are true the ordered pair (1, 2) and the system of equations?
    11·1 answer
  • 4 + 2/7x = 8 what does x equal
    10·2 answers
  • College algebra online is not for me Can someone help me understand these questions
    11·1 answer
  • Find the volume of the cylinder
    13·1 answer
  • Find the length of the line segment that connects the points (7, 16) and (47, 140)​
    5·1 answer
  • Find the Function and Solution in 2 different parts.
    8·1 answer
  • How to divide fractions
    8·2 answers
  • 300 hotdogs and hamburgers total. Hotdogs cost $2. Hamburgers cost $3. How many hamburgers? How many hotdogs?
    12·2 answers
  • 10 points!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!