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
lukranit [14]
3 years ago
9

A box contain 12 balls in which 4 are white 3 are blue and 5 are red.3 balls are drawn at random from the box.find the chance th

at all three are selected​
Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

3/11

Step-by-step explanation:

From the above question, we have the following information

Total number of balls = 12

Number of white balls = 4

Number of blue balls = 3

Number of red balls = 5

We solve this question using combination formula

C(n, r) = nCr = n!/r!(n - r)!

We are told that 3 balls are drawn out at random.

The chance/probability of drawing out 3 balls = 12C3 = 12!/3! × (12 - 3)! = 12!/3! × 9!

= 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/(3 × 2 × 1) × (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)

= 220 ways

The chance of selecting 3 balls at random = 220

To find the chance that all the three balls are selected,

= [Chance of selecting (white ball) × Chance of selecting(blue ball) × Chance of selecting(red balls)]/ The chance/probability of drawing out 3 balls

Chance of selecting (white ball)= 4C1

Chance of selecting(blue ball) = 3C1 Chance of selecting(red balls) = 5C1

Hence,

= [4C1 × 3C1 × 5C1]/ 220

= 60/220

= 6/22

= 3/11

The chance that all three are selected is = 3/11

You might be interested in
How many people can be served from one cup of oatmeal? How many cups will it take to serve 27 people?
ASHA 777 [7]

Answer:

B. 3 people;9 cups

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Choose the triangle that seems to be congruent to the given one
vivado [14]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can
VARVARA [1.3K]

Answer:

8 sand bags can be carried along.

Step-by-step explanation:

First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.

7 0
3 years ago
Read 2 more answers
Find the measure of "theta". Round all answers to the nearest tenth.
Anika [276]

Answer:

58.6 degrees

Step-by-step explanation:

6 0
3 years ago
What is the value of t in the following equation?
erica [24]

Answer: t = 2698 as question is written. Just subtract 14 from both sides. There is either a typo in the question or the answer choices.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is the standard form of function f
    9·2 answers
  • an insurance company charges $25 initiation fee and $87 per month for renters insurance. if you have spent $547 to date, for how
    12·2 answers
  • Is the function y=1/9x-6 linear or nonlinear?
    5·1 answer
  • Find the area and perimeter.
    11·1 answer
  • What is the slope of the line below?
    6·1 answer
  • 1. 7:4 = 21:x; what is the value of x?<br> A. 12<br> B. 10<br> C. 8<br> D. 6<br> E. 4<br> 8.
    9·1 answer
  • Following the order of operations, exponents should be simplified after completing all multiplication and division.
    15·1 answer
  • Help please how do I find x and y
    10·1 answer
  • The product of 4 and a number split into 6 parts​
    15·1 answer
  • 2x − 1 &lt; 7 and 3x + 24 ≥ 12
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!