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
lions [1.4K]
3 years ago
10

a bag contains 4 red marbles and 1 black amrble. two people, A and B, take turns drawing a marble from the bag without replaceme

nt. the first person to draw a black marble wins. What is the probability that the first person who draws wins
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Answer:

Chances of winning = \frac {1}{10} or 0.1

Step-by-step explanation:

According to the question, there may be two conditions:

1- Either A or B may draw a black marble first.

2- A or B both can draw the marble simultaneously.

This conclude that both of them have equal chances of getting the marble.

In both the conditions presented above, chances of drawing black marble by A or B is 50% or \frac {1}{2}.

Since, probability of occurrence of an event P = No. of possible outcomes/ total number of outcomes (exhaustive events).

Here, total possible outcomes = 2 (Either A or B wins)

So, Prob. that A wins = \frac {1}{2}

& Prob. that B wins = \frac {1}{2}

Now, let us talk about marbles:

We have 4 red marbles & 1 black marble.

In this case, total possible outcomes = 4+1 = 5

Prob. of a red marble = \frac {4}{5}

Prob. of a black marble = \frac{1}{5}

Thus, Prob. that A draws the black marble = \frac{{1}{5} \times {1}{2}}

                                                                      = \frac {1}{10}

and Prob. that B draws the black marble = \frac{{1}{5} \times {1}{2}}

                                                                      = \frac {1}{10}

Therefore, whether A or B , any of the persons may first draw the black marble, the prob. of winning = \frac {1}{10}

You might be interested in
20 points plus that brain thing
madam [21]

Answer:

\huge\boxed{\sf \$ \ 26.24}

Step-by-step explanation:

Each side of the squared painting = 41 inches

A square has 4 sides. So,

4 sides of the square painting = 4(41) inches

                                                  = 164 inches

\rule[225]{225}{2}

<u>The shop charges:</u>

1 inches = $ 0.16

Multiply both sides by 164

164 inches = $ 0.16 × 164

164 inches = $ 26.24

\rule[225]{225}{2}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
5 0
3 years ago
6 is what percentage of 10?
yaroslaw [1]

Answer: 60 percent

Step-by-step explanation: Your welcome!

5 0
3 years ago
Read 2 more answers
Percy is filling a cylindrical tank with water. The tank is
Archy [21]

Answer:

B

Step-by-step explanation:

78x9=702

702/6=117 minutes.

7 0
3 years ago
Read 2 more answers
Hannah is a photographer who specializes in portraits. This morning, she spent four hours doing graduation portrait sessions. In
stiv31 [10]

Answer:

graduation

Step-by-step explanation:

6 0
3 years ago
5
Phoenix [80]

Answer:

4

Step-by-step explanation:

If you increase the scale factor by 4, the sides become:

L= 2×4 = 8

W= 3×4 = 12

Now to find the new area:

<u>8 × 12</u> = 96cm^2

<u>So, a scale factor of </u><u>4</u> would give the rectangle a scale factor of <u>96</u>.

<u>Hope this helps and have a nice day!</u>

4 0
3 years ago
Other questions:
  • Segment AB is congruent to segment AB. This statement shows the ______ property. reflexive symmetric transitive substitution
    7·2 answers
  • Which of the following is a rational number?​
    15·1 answer
  • Please help with with number 3,4 and e-g please and also explain how you got the answer
    14·1 answer
  • a baseball team won two out of their last four games. in how many different orders could they have two wins and two losses in fo
    10·1 answer
  • Sergio thinks he will need 90 cups of fruit juice to make 210 cups of punch. Explain his method. How many cups of fruit juice wo
    5·1 answer
  • Which of these groups of relative frequencies would be best represented by a pie chart?
    14·1 answer
  • Find the value of x? Please help?
    11·1 answer
  • Please help and explain how you got it!!
    10·2 answers
  • PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!
    10·2 answers
  • A movie theater ordered 212 boxes of candy to sell at the the theater. Each box had 75 pieces of candy. How many pieces of candy
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!