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
Art [367]
3 years ago
12

There are 15 tennis balls in a box, of which 9 have not previously been used. three of the balls are randomly chosen, played wit

h, and then returned to the box. later, another 3 balls are randomly chosen from the box. find the probability that none of these balls has ever been used
Mathematics
2 answers:
vagabundo [1.1K]3 years ago
8 0
For the first three balls that are chosen, the probability would be found by the following expression: 9/15*8/14*7/13 = 12/65  The numerator decreases since the number of new balls is decreasing with each one that is removed. The denominator decreases since the total number of tennis balls in the box is being decreased. For the second time that balls are chosen, the following expression is used: 6/15*5/14*4/13 = 10/273 The numerator starts with 6 since there are now fewer balls that are unused due to the ones previously have been used. These two fractions are then multiplied to find the total probability that none of the 6 balls were used. 12/65*10/273 = 8/1183
siniylev [52]3 years ago
3 0
Total tennis balls = 15 balls
Previously not used balls = 9 balls
Previously used balls = 15 - 9 = 6 balls

Probability of getting first 3 balls that are not used previously = \frac{9}{15} ×  \frac{8}{14} ×  \frac{7}{13}

Now remaining total balls = 15 - 3 = 12
Balls that are not previously used = 9 - 3 = 6

Probability of getting next 3 balls that are not used previously = \frac{6}{12} ×  \frac{5}{11} ×  \frac{4}{10}

Probability = \frac{9}{15} ×  \frac{8}{14} ×  \frac{7}{13} × \frac{6}{12} ×  \frac{5}{11} ×  \frac{4}{10}

= 0.089

You might be interested in
<br> .........help.......me.......please
AlexFokin [52]

Answer:

s

Step-by-step explanation:

4 0
3 years ago
What is the probability that someone in chicago is stung by a bee
AysviL [449]

Step-by-step explanation:

0.075 % is the probability of that

6 0
2 years ago
The temperatures at 6:00 am one morning in four cities are given below.
Andre45 [30]

Answer:

-9

Step-by-step explanation:

8 0
2 years ago
Part of the proceeds from a garage sale was $470 worth of $10 and $20 bills. If there were 14 more $10 bills than $20 bills, fin
Brums [2.3K]

There are 25 $10 bills and 11 $20 bills.

Step-by-step explanation:

Given,

Worth of proceeds from garage = $470

Let,

x be the number of $10 bills

y be the number of $20 bills.

According to given situation;

10x+20y=470       Eqn 1

x = y+14                Eqn 2

Putting value of x from Eqn 2 in Eqn 1

10(y+14)+20y=470\\10y+140+20y=470\\30y=470-140\\30y=330

Dividing both sides by 30

\frac{30y}{30}=\frac{330}{30}\\y=11

Putting y=11 in Eqn 2

x=11+14\\x=25

There are 25 $10 bills and 11 $20 bills.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/1279756
  • brainly.com/question/1284310

#LearnwithBrainly

5 0
3 years ago
Simplify. 9x^8-18x^6
GrogVix [38]
You cannot simplify this but you can factorise it:

9x^6 (x^2 - 2)
7 0
3 years ago
Other questions:
  • Jill is in Math Club. There are 20 students in the club. The sponsor will pick two students at random to run the meeting. What i
    10·2 answers
  • If a dental practice saw 225 patients come on over 4 1/2 day period, how many patients came in each day?
    6·2 answers
  • (1,3)(0,2)(-4,0) are they collinear
    7·1 answer
  • Mean, Median, mode, range Please help
    10·1 answer
  • Match the reasons with the statements in the proof to prove that BC = EF, given that triangles ABC and DEF are right triangles b
    13·1 answer
  • Your friend adds 46.7
    13·2 answers
  • Can the quotient of two irrational numbers ever be a rational number?
    9·2 answers
  • 3 (2x + 10)<br> Simplify the expression using distribution.
    6·2 answers
  • A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h in meters
    12·2 answers
  • Make a conjecture about the rules these patterns follow.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!