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
Radda [10]
2 years ago
12

caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe. Two caps are drawn wothout replacement from the wardrobe.

What is the probability that both of the caps are blue?
Mathematics
2 answers:
amid [387]2 years ago
6 0

Answer:

<u>18/95</u>

Step-by-step explanation:

Probability Formula :

<u><em>Probability (Event) = Number of outcomes with Event / Total outcomes</em></u>

<u><em /></u>

=============================================================

Given :

⇒ <u>7 black caps</u>

⇒ <u>4 yellow caps</u>

⇒ <u>9 blue caps</u>

<u />

===========================================================

Solving :

<u>P (1st cap is blue)</u> :

⇒ Number of blue caps / Total caps

⇒ 9 / 7 + 4 + 9

⇒ 9/20

It mentions the cap is not replaced. Hence, when taking the probability of the 2nd cap, subtract a blue cap from the number of blue caps and the total.

<u>P (2nd cap is blue)</u> :

⇒ Number of blue caps - 1 / Total caps - 1

⇒ 9 - 1 / 20 - 1

⇒ 8/19

<u>P (both caps are blue)</u> :

⇒ P (1st cap blue) × P (2nd cap blue)

⇒ 9/20 × 8/19

⇒ 9/5 × 2/19

⇒ <u>18/95</u>

Hitman42 [59]2 years ago
4 0

Answer:

18/95

Step-by-step explanation:

What is probability?

Probability is simply the chances of something occuring.

As a formula, I like to say that formula = # of favorable outcomes / total # of outcomes

Where favorable outcomes is what we want to happen and total # of outcomes is the total number of possibilities.

In order to find the probability of the occurrence of something in a row, we multiply the individual probabilities of each action

Understanding the question

Here we are given that caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe and given this we want to find the probability of Caleb randomly selecting 2 blue caps without replacing it the first being drawn.

So here # of favorable outcomes = # of blue caps = 9

and

total number of outcomes = total # of caps = 7 + 4 + 9 = 20

Finding the probability

<em>For </em><em>first </em><em>draw</em>

First let's find the probability that caleb will select a blue cap the first time.

We know that probability = # of favorable outcomes / total # of outcomes

We also know that # of favorable outcomes = 9 and total # of outcomes = 20

Plugging this in, we get that the probability of Caleb randomly selecting a blue cap on the first draw is 9/20

<em>For </em><em>second </em><em>draw</em>

Because it says that caleb will not replace the cap when drawn it's important to subtract 1 from both the # of caps and # of blue caps

This results us in having # of favorable outcomes as 8 and total # of outcomes as 19

Plugging this in we get that the probability of Caleb drawing a blue cap the second time is 8/19

Finally to find the total probability of him selecting two blue caps in a row without replacing the first cap, we multiply the individual probabilities

From doing so we acquire 9/20 * 8/19 = 18/95

You might be interested in
If Joe makes 16 out of 40 free throws in a
abruzzese [7]
The answer would be 6.4% because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640%
8 0
3 years ago
PLZ HELP PLEASE ./////
Harrizon [31]

Answer:

Step-by-step explanation:

The A

3 0
3 years ago
I need help with my home work
Andrew [12]

Answer:

I would say 3

Step-by-step explanation:

ABC is a scaled down triangle of AED

Have an amazing day!

Please rate!

5 0
2 years ago
What is the factorization of the polynomial 2x^2+28x+98
SashulF [63]

Answer:

Step-by-step explanation:

hello : answer B

because : 2(x+7)(x+7) = 2(x²+7x+7x+49) = 2(x²+14x+49) = 2x²+28x+98

6 0
2 years ago
Approximately what part of the American flag is blue
Verizon [17]
It is about 35% if i was to estimate

3 0
3 years ago
Read 2 more answers
Other questions:
  • HELP! Find the value of the 30th percentile of the following set of data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152
    8·1 answer
  • A regular hexagon (6-sided figure) has sides that are all the same length. Each side length is represented by the expression x +
    7·1 answer
  • Which statement best explains whether the table represents a linear or nonlinear function?
    15·2 answers
  • Which of the following series are convergent?
    10·1 answer
  • Which of the following is a true statement?
    13·2 answers
  • One grain of this sand approximately weighs 6 x 10^-6g.
    8·1 answer
  • Write a system of linear equations for the graph below.
    7·1 answer
  • Problem 10 / (Second Session 2006)
    15·1 answer
  • what number must be subtracted from both the numerator and denominator of 5/9 to obtain a fraction equal to 3/8
    15·1 answer
  • This meal originally costs $75. Fatima used a 20% off coupon and then tax was added. The total after coupon and tax was $75.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!