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
Arlecino [84]
3 years ago
7

A bag contains 4 white,5 blacks and 2 blue balls. 3 balls are drawn one after the other without replacement from the bag .what i

s the probability that they are of different color​
Mathematics
1 answer:
Doss [256]3 years ago
4 0

Answer:

24/99

Step-by-step explanation:

From the question given above, the following data were obtained:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

Probability that they are of different color =?

Next, we shall determine the total number of balls in the bag. This can be obtained as follow:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 4 + 5 + 2 = 11 balls

Next, we shall determine the possible outcome of draw. This can be obtained as follow.

The possible outcome could be:

WBLB or WBBL or BBLW or BWBL or BLBW or BLWB

Next we shall determine the probability of each of outcomes.

Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 11

P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990

P(WBLB) = 4/99

P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990

P(WBBL) = 4/99

P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990

P(BBLW) = 4/99

P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990

P(BWBL) = 4/99

P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990

P(BLBW) = 4/99

P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990

P(BLWB) = 4/99

Finally, we shall determine the probability that they are of different color. This can be obtained as follow:

P(WBLB) = 4/99

P(WBBL) = 4/99

P(BBLW) = 4/99

P(BWBL) = 4/99

P(BLBW) = 4/99

P(BLWB) = 4/99

Probability that they are of different color =?

Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)

= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99

= (4 + 4 + 4 + 4 + 4 + 4)/99

= 24/99

Thus, the probability that they are of different color is 24/99

You might be interested in
Mile markers along the highway tell drivers how many miles they have traveled from one location to another. Suppose Daniel sees
agasfer [191]
The answer to you question is 74.
3 0
2 years ago
Sally left the city for vacation. Sara left 5 hours later going 58 mph faster to catch up.
tensa zangetsu [6.8K]

Answer:46.2

Step-by-step explanation:

hope this helps

6 0
2 years ago
Express 34% as a fraction in simplest form.<br> A.3/4<br> B.34/100<br> C.8/25<br> D.17/50
Verizon [17]
Hey there!

if i am doing this correct it should be

17/50, let me explain!

.34 is 34/100 and both of these numbers are even, thus you can divide it by 2 which will give you 17/50

Hope This Helps!!!
7 0
3 years ago
Chin Woo bought a home for $160,000. He put down 20%. The mortgage is a 8 1/2% for 25 years. His yearly payments are?
PolarNik [594]
Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000

Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer
6 0
2 years ago
A fishing store gives customers 10 new lures for every 2 fishing poles they buy. How
Firlakuza [10]

Answer:

40 lures

Step-by-step explanation

First, 10 for every 2  means multiplication. 2 goes into 8   4 times. 4x2=8

10 lures multiplied by 4 is 40.

I hope this helps! ツ

3 0
3 years ago
Other questions:
  • At 8 A.M., the temp was 13'F below zero. By 1 P.M., the temp rose 22'F and by 6 P.m. dropped 14'F. What was the temperature at 6
    15·1 answer
  • The lines below are parallel. If the slope of the green line is -2, what is the slope of the red line?
    13·2 answers
  • A line has a slope of 2 and a y-intercept of -9, what is the equation of the line?
    12·1 answer
  • The sum of eight and two, subtracted from x<br> a. x + (8 - 2)<br> b. x - (8 + 2)
    9·1 answer
  • Consider an arbitrary ellipse x 2 a 2 + y 2 b 2 = 1. (Assume a, b &gt; 0.) (a) Find a parametrization of the ellipse using the d
    15·2 answers
  • Does the equation “y = x/10” represent a proportional relationship?
    13·1 answer
  • If you were 2 years old in 2011 how old would you be in 2020?
    15·2 answers
  • 4 (m + 7) Which expression(s) is (are) equivalent to ? Select ALL that apply.
    10·1 answer
  • HELP ASAP 20 BRAINLY POINT PLUS USER HELPPP ​
    12·2 answers
  • 4&lt;4x+8&lt;20 HELPPP ME PLS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!