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
saw5 [17]
3 years ago
10

involving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total o

f 14 apples: 10 red and 4 yellow. (1) What is the probability that the second apple you pick is red? equation editorEquation Editor (2) What is the probability that you pick at least one red apple?

Mathematics
2 answers:
ivolga24 [154]3 years ago
8 0

Answer:

1) The probability that the second apple is red is 0.7143 (71.43%).

2) The probability that at least one red apple is picked 0.9341 (93.41%).

Step-by-step explanation:

We can make a probability tree as the attached picture.

1) There are 2 ways in the probability tree when the second apple is red:

Both apples are red:

P(R∩R)=\frac{10}{14}\frac{9}{13}=0.4945

Only the second apple is red:

P(Y∩R)=\frac{4}{14}\frac{10}{13}=0.2198

The probability that the second apple is red is the sum of the previous probabilities.

P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143

2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.

The way in the probability tree is Y∩Y:

P(Y∩Y)=\frac{4}{14} \frac{3}{13}=0.0659

P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341

mrs_skeptik [129]3 years ago
7 0

Answer:

(1)  \frac{5}{7} is the probability that the second apple you pick is red

(2) \frac{85}{91} is the probability that you pick at least one red apple

Step-by-step explanation:

(1)

First you must remember that <em>the probability is: </em>

<em>\frac{desired outcome}{total possible outcomes}</em>

There are 2 ways this can happen independently: either the first apple and our second apple are both red. Or the first apple is yellow, and the second is red.

You know you have 14 apples in total: 10 red and 4 yellow.  

In the first case, considering the definition, the probability that the first apple is red is: \frac{10}{14}

This means that of the 14 apples in total, you have 10 that are red.

Now that you picked an apple and it was red, there were 13 apples in total in the bag, and 9 red apples. So the probability that the second apple you pick is red is \frac{9}{13}.

So, to get the probability that both apples are red, you get them by multiplying,  because the probability of the second selection depends on the first:

\frac{10}{14} *\frac{9}{13} =\frac{45}{91}

Now consider the case where the first apple is yellow and the second is red. For that, considering the definition, the probability that the first apple is yellow is: \frac{4}{14}

This means that of the 14 apples in total, you have 4 that are yellow.

Now that you picked an apple and it was yellow, there were 13 apples in total in the bag. But the red apples are still 10, because the apple you picked was yellow. So the probability that the second apple you pick is red is \frac{10}{13}.

So the probability that only the second apple is red is:

\frac{4}{14} *\frac{10}{13}=\frac{20}{91}

To find the chance that one or the other happens, you add:

\frac{45}{91}+\frac{20}{91}=\frac{65}{91}=\frac{5}{7}

So, <em>\frac{5}{7} is the probability that the second apple you pick is red</em>

2)

The probability that in 2 selections at least one is red is: 1 – probability of both yellow, calculating the probability that both are yellow following the previous reasoning :

1-\frac{4}{14} *\frac{3}{13} =1-\frac{6}{91}=\frac{85}{91}

So, <em>\frac{85}{91} is the probability that you pick at least one red apple</em>

You might be interested in
Yo please help!
Alona [7]

Answer:

Step-by-step explanation:

R' (3,5)

S' (2,2)

T' (5,3)

6 0
3 years ago
a circle has a radius of 10 yards what is the circumference of the circle? express your answer using pie
Zarrin [17]
C = 2(3.14) x r
C = 6.28 x 10
C = 62.8 yards
7 0
3 years ago
The sum and product of zeroes are 4 and 1 respectively then the quadratic equation is
Zinaida [17]

Answer:

A. x²- 4x+ 1

option A is the answer

3 0
2 years ago
If the scale factor between two circles is 7a/9b what is the ratio of their areas?
RideAnS [48]
<span>. 49a2/81b2
I think the answer is B)</span>
5 0
3 years ago
Read 2 more answers
The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Judy attended all of the sessions thi
lbvjy [14]

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Then the, total number of minutes Judy worked out for the week was 155 minutes.

We are to determine the total number of minutes Judy worked out for the week.

The gym holds three 45-minute workout sessions and two 30-minute sessions each week

So,

We can write,

The total number of minutes the gym holds workout sessions is

3 × 45 + 2 × 30

= 135 + 60

= 195 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions.

The total number of minutes Judy didn't attend is

= 3 × 10 + 2 × 5

= 30 + 10

= 40 minutes

Then,

The total number of minutes Judy worked out for the week was,

= 195 minutes - 40 minutes

= 155 minutes

Therefore,

The total number of minutes Judy worked out for the week was 155 minutes.

To learn more about visit Calculating time :

brainly.com/question/28523225

#SPJ1

5 0
1 year ago
Other questions:
  • What is the answer for x\6=5
    8·2 answers
  • How do you use an exponent to represent a number such as 16
    6·1 answer
  • A bag contains 5 red marbles, 6 blue marbles and 3 green marbles. If three marbles
    5·1 answer
  • Determine the factors of 5x2 + 6x − 8. (5x − 1)(x + 8) (5x − 8)(x + 1) (5x − 4)(x + 2) (5x − 2)(x + 4)
    6·2 answers
  • A probability experiment is conducted in which the sample space of the experiment is upper s equals { 1 comma 2 comma 3 comma 4
    11·1 answer
  • A business owner noted the features of the 100 100100 cars parked at the business. Here are the results: Sunroof2 doors4 doors 2
    9·1 answer
  • What is 11 - 10 <br> HELP HURRY PLEASE ANSWER QUICK
    8·1 answer
  • What is the volume of the sphere of 6 feet
    9·1 answer
  • The radius of a circle is (x-3)m. find the area of the circle
    8·1 answer
  • A cell phone company charges $20 a month for the base plan. They charge 10 cents for
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!