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
I need help fast plss ive failed this test 7 times already​
liberstina [14]

it's either a or b, not sure but I think it's b

5 0
2 years ago
HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Whitepunk [10]

Answer:

its red okay? i hop help

8 0
3 years ago
Read 2 more answers
Write equivalent expression for 7× + 4× + 3-1
Mazyrski [523]

Answer: you just flip it. It would be the opposite.

Step-by-step explanation:

When you flip it, what’s the difference? It’s still the same.

6 0
3 years ago
Olivia has budgeted 40% of her savings for a new phone. If she had $500 in her savings account, how much can she spend on the ph
rodikova [14]

Answer:200$

Step-by-step explanation:

4 0
3 years ago
How do i do rise over run if the slope is not a fraction
Furkat [3]
Ok for example let’s use 2 as the slope. You are going to put the 2 over 1 so it will look like this 2/1. And that would be your slope!
7 0
2 years ago
Read 2 more answers
Other questions:
  • PLZ HELP FAST I NEED IT NOW!!!
    13·1 answer
  • According to the distributive property, 6 (a + b) =
    6·2 answers
  • This table shows some values of an exponential function. what is the function
    6·1 answer
  • What is the percent of increase for a population that changed from 25,000 to 30,000?
    11·2 answers
  • 510 visitors in 30 hours or 960 visitors in 60 hours, which is greater​
    6·2 answers
  • Write a polynomial function that has the zeros -3, 1, -1 and has a leading coefficient of 1.
    14·1 answer
  • U get brainlyist if quick
    10·1 answer
  • Please answer the question if you are sure of the answer thank you
    15·2 answers
  • HELP ASAP!!! HELP FAST!!,
    15·1 answer
  • The point P = (x, - 2/7) lies on the unit circle shown below. What is the value of x in simplest form?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!