If 6 more black balls are put in the box find x, Mathematics

Assignment Help:

A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put in the box the probability of drawing a black ball is now double of what it was before. Find x?                (Ans: 3)

Ans: Number of all possible outcomes = 12

Number of outcomes favourable to the event of drawing black ball = x

Required probability =  x/12

Now when 6 more black balls are put in the box, Number of all possible outcomes = 12 + 6 = 18

Number of outcomes favourable to the event of drawing a black ball = x + 6

∴ Probability of drawing a black ball = x + 6 /18

According to the question,

x + 6/18  = 2 ( x/12 )

∴       x = 3


Related Discussions:- If 6 more black balls are put in the box find x

Estimate the position of an object at any time, The position of an object a...

The position of an object at any time t (in hours) is specified by, s (t ) = 2t 3 - 21t 2 + 60t -10 Find out when the object is moving to the right and whiles the object

Identify the surface for the equation , Identify the surface for each of th...

Identify the surface for each of the subsequent equations. (a) r = 5 (b) r 2 + z 2 = 100 (c) z = r Solution (a)  In two dimensions we are familiar with that this

Term paper topics, please suggest me that how can i get the term papers top...

please suggest me that how can i get the term papers topics?

Multistage sampling, Multistage sampling Multistage sampling is similar...

Multistage sampling Multistage sampling is similar to stratified sampling except division is done on geographical/location basis, for illustration a country can be divided into

Definition of a function, A function is a relation for which each of the va...

A function is a relation for which each of the value from the set the first components of the ordered pairs is related with exactly one value from the set of second components of t

Basic requirement for interpolation & extrapolation to work, What is the ba...

What is the basic requirement for both interpolation and extrapolation to work?  There must exist a functional relationship between an independent variable and a dependent variable

Determine the differential y = t 3 - 4t 2 + 7t, Determine the differentia...

Determine the differential for following.                                      y = t 3 - 4t 2 + 7t Solution Before working any of these we have to first discuss just

We know this equation a°=1.prove this?, we know that    A^m/A^m=1         ...

we know that    A^m/A^m=1                    so A^(m-m)=1                    so A^0=1.....

Objectives of multiplication and division, Objectives After reading t...

Objectives After reading this unit, you should be able to 1. Explain the meaning of multiplication / division and interpret it in different contexts; 2. Convert symbo

Find out a if f(x) is continuous at x = -2 , Example   Given the graph of ...

Example   Given the graph of f(x), illustrated below, find out if f(x) is continuous at x = -2 , x = 0 , and x = 3 . Solution To give answer of the question for each

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd