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
Nikitich [7]
2 years ago
14

A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :

Mathematics
1 answer:
Kaylis [27]2 years ago
7 0

Answer:

<u>There are:</u>

  • 6 red balls - R
  • 5 black balls - B
  • Total number = 11 balls
<h3>A. Without replacement</h3>

i. <u>Two blacks </u>

  • P(BB) = 5/11*4/10 = 2/11

ii. <u>The first is black</u>

  • P(B) = 5/11

or, alternatively

  • P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11

iii. <u>Both are of same colour</u>

  • P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11
<h3>B. With replacement</h3>

i. <u>Two blacks </u>

  • P(BB) = 5/11*5/11 = 25/121

ii. <u>The first is black</u>

  • P(B) = 5/11

or alternatively

  • P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. <u>Both are of same colour</u>

  • P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121
You might be interested in
At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0
3 years ago
Angle a and angle b are verticle angles if m <br> PLEASE HELPLO
klemol [59]
Can we get a picture please
3 0
3 years ago
What is the slope of the graph of 4 x + 8 y = 11?
Karolina [17]

Answer:

B  -1/2

Step-by-step explanation:

4x+8y = 11

We need to get the equation in the slope intercept form

y = mx+b  where m is the slope and b is the y intercept

Subtract 4x from each side

4x-4x+8y = -4x+11

8y = -4x+11

Divide by 8

8y/8 = -4x/8 +11/8

y = -1/2x +11/8

The slope is -1/2 and the y intercept is 11/8

8 0
3 years ago
Read 2 more answers
How many integers have absolute value equal to 7?
Triss [41]
Only two integers i think, 7 and -7
6 0
3 years ago
Please help (Its multiple choice)
artcher [175]

Step-by-step explanation:

-5(4a) = (-5a)4

(By commutative property of multiplication)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which linear function represents the line given by the point-slope equation y – 8 =1/2 (x – 4)?
    7·2 answers
  • Please solve the following quadratic equation and show your work: x^2-2x+6=0
    11·1 answer
  • The first term of an arithmetic progression is 30 and the common difference is -1.5. Find the value of the 25th term
    8·2 answers
  • Find the geometric mean of the pair of numbers.
    14·1 answer
  • How to simplify g(x) = -2(x-1)(x+5)
    5·1 answer
  • Suppose that two teams are playing a series of games, each of which is independently won by team A with probability p and by tea
    14·1 answer
  • the table shows the amount for seven months of the year. which is the median amount of rainfallnin the town from march to septem
    15·1 answer
  • Consider the expression 35.86 divided by 2.2 .
    6·1 answer
  • Two vertical poles, 20m and 80m high stand on a horizontal plane.
    15·1 answer
  • Can someone tell me the answer to this please I got this wrong on my first attempt .-.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!