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
Nataly_w [17]
3 years ago
12

A fish tank in a pet store has 22 fish in it. 7 are orange and 15 are white. Determine the probability that if we select 3 fish

from the tank, at least 2 will be white.
Mathematics
2 answers:
Ratling [72]3 years ago
8 0

Answer:

We have a 55% of probably that 2 fish will be white.

Step-by-step explanation:

That’s why we have 22 fish , 11 is the middle, so it is the 50%, 15 white fish are the 55% of 22 total fishes.

Lady bird [3.3K]3 years ago
7 0

Answer:

Approximately 77.2%.

Step-by-step explanation:

At least two out of three fish are white means that

  • Either two out of the three fish are white and the other one is orange, or
  • All three fish are white.

How many ways to choose two out of fifteen objects (white fish in this case?)

The combination formula gives the number of unique ways to choose r out of n objects. Note that in case of combination (as opposed to permutation,) the order of the objects does not matter.

\displaystyle {n \choose r} = \frac{n!}{r!(n-r)!} = \frac{n (n - 1) \cdots (n - r +1)}{r(r-1) \cdots 1}.

\displaystyle \rm _{15}C_{2} = {15 \choose 2} = 105.

How many ways to choose one out of seven objects (orange fish in this case?)

Similarly, by the combination formula

\displaystyle \rm _{7}C_{1} = {7 \choose 1} = 7.

How many ways to choose two out of fifteen white fish and one out of seven orange fish at the same time? Since both events happen at the same time, the result is the product of the two numbers of ways:

105 \times 7 = 735.

Similarly, the number of ways of choosing three out of fifteen white fish will be:

\displaystyle \rm _{15}C_{3} = {15 \choose 3} = 455.

It is not possible to choose both two and three white fish at the same time. In other words, one of the two situations may occur. Add the two numbers of ways to choose in each situation to find the total number of ways of choosing that satisfy the conditions.

735 + 455 = 1190.

How many possible ways to choose three objects out of twenty-two in total (including ones that do not satisfy the condition?)

\displaystyle \rm _{22}C_{3} = {22\choose 3} = 1540.

The probability of meeting the requirements will be equal to

\begin{aligned} &\frac{\text{Number of Ways of Choosing} \text{ that Meet the Requirements}}{\text{Total Number of Ways of Choosing}}\\ &= \frac{1190}{1540} \\&\approx 77.3\%\end{aligned}.

You might be interested in
The approximate curve is an empirical formula equation and the method of finding such an approximating curve is called _________
Free_Kalibri [48]
The answer it Curve Fitting or Arc but I think Curve Fitting just good luck
3 0
3 years ago
3. What line forms when a plane and a cylinder intersect?
leonid [27]
The answer to this depends on the angle at which they intersect. If it intersects<span> the cylinder perpendicular to the axis then a circle is formed. </span><span>If the plane intersects the cylinder at an angle, it will form an ellipse. This will be true until the plan is parallel with the axis of the cylinder. At that point, the surface will become a rectangle.</span>
6 0
3 years ago
Josea went out to dinner to an Indian restaurant. The total bill was $38 .she wanted to leave a 20% tip
jekas [21]

Answer:

$20?

Step-by-step explanation:

6 0
3 years ago
What does it mean to simplify?
Arlecino [84]
To make something smaller and easier
8 0
3 years ago
Read 2 more answers
if two angles are supplementary and one of the angles measures 43 degrees, what is the measure of the other angle
sweet-ann [11.9K]

Answer:

137 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees

180-43=137

6 0
3 years ago
Read 2 more answers
Other questions:
  • The overnight temperature in Tampa never reached below 40 f during November which inequality shows that
    5·1 answer
  • At currency exchange, 11 U.S. Dollars can be exchanged for 10 Euros. How many euros will you recevie for 1 U.S. Dollar?
    6·2 answers
  • What is the measure of angle b
    5·1 answer
  • What is the area of the triangle in centimetres Square?​
    5·1 answer
  • Please help me 5-7g-3=
    9·2 answers
  • a 76 inch pipe is cut into two pieces One piece is three times the length of the other find the lengh of the shorter piece?
    9·1 answer
  • Which student responds to Mr. Ramirez's question correctly?
    14·1 answer
  • Why am i ugly please tell me
    9·2 answers
  • Write as a mixed number.<br> 25/8
    7·1 answer
  • HELP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!