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
alexandr1967 [171]
2 years ago
7

Suppose that 35 people are divided in a random manner into two teams in such a way that one team contains 10 people and the othe

r team contains 25 people. What is the probability that two particular people A and B will be on the same team?
Mathematics
1 answer:
Effectus [21]2 years ago
8 0

Answer:

0.5798 or 57.98%

Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798

The probability is 0.5798 or 57.98%.

You might be interested in
Martin used 400 ft of fencing to enclose a rectanguluar area in his backyard
Fofino [41]
I think the side lengths could be 125 and 75
I’m not sure what you’re asking
7 0
3 years ago
CAN SOMEONE PLEASE HELP ME???
zmey [24]

Step-by-step explanation:

the graph A is represents the ordered pairs.

4 0
3 years ago
Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 miles head start. Harper runs 0.5 mile per hou
igomit [66]
S=d/t
for liam
4=.25/t
t=.25/4
t=0.0625hours
for harper
t=0.25/4.5=0.055hours
msg me if it helps
4 0
3 years ago
Use skip counting and the number line to find the missing number.<br> 3X__=12
loris [4]

Answer:


Step-by-step explanation:

3 times 4 is 12. you can solve this by dividing 12 by 3, or by skip counting and using repeated addition.

7 0
3 years ago
14=h/5<br><br> Help me please
ValentinkaMS [17]

Answer:

14=h/5

h=14*5

h=70

<u>Check</u>:

70/5=14

Hope this helps

6 0
2 years ago
Other questions:
  • What is the third term of the sequence? a1 = k an = 2an-1 2k 4k 6k 8k
    7·2 answers
  • If a fair die is rolled 4 times what is the probability only one roll results in a 6
    15·1 answer
  • Someone pls help me on 3 and 4!!!!!! Mark you as
    7·1 answer
  • What is the answer to -4/3p -2/5
    15·1 answer
  • He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width
    8·1 answer
  • Round each number to three significant figures.a. 3.14159 b. 6.12356c. 4.56787
    14·1 answer
  • 16-2t=t+9+4t. need help with this​
    6·2 answers
  • Use the image to help you answer these question slides 2. Angles g and f are:
    9·1 answer
  • A range value of the function f(x)=−2x+6 is 0. What is its domain value?
    8·2 answers
  • If 500’ roll of wire costs 18.44 what I’d the first of wire per foot
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!