What is the conditional probability based on die questions, Mathematics

Assignment Help:

A die is rolled twice and the sum of the numbers appearing on them is observed to be 7.What is the conditional probability that the number 2 has appeared at least once?

A) 1/3 B) 2/3 C) 12/15 D) 2/9

Consider the following events:

A=Getting number 2 at least once,

B=Getting 7 as the sum of the number on two dice.

We have,A={(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(1,2),(3,2),(4,2),(5,2),(6,2)}

And={ (2,5),(5,2),(6,1),(1,6),(3,4),(4,3)}

∴P(A)=11/36,P(B)=6/36 and P(A∩B)=2/36

So, Required probability =P(A/B)=P(A∩B)/P(B)=2/36/6/36=1/3

Related Discussions:- What is the conditional probability based on die questions

Find Equation of the circle, The line 4x-3y=-12 is tangent at the point (-3...

The line 4x-3y=-12 is tangent at the point (-3,0) and the line 3x+4y=16 is tangent at the point (4,1). find the equation of the circle. solution) well you could first find the ra

#title., I need to follow the pattern .125,.25,.375,.5, ?

I need to follow the pattern .125,.25,.375,.5, ?

Dividing, If I divide any number do I get the manservant 2 times

If I divide any number do I get the manservant 2 times

What is the marginal product of labor function, Your engineering department...

Your engineering department estimated the following production function. Q = 15L 2 - 0.5L 3 a. What is the marginal product of labor function, MP L ? b. What is the aver

Hierarchical structures-how mathematical ideas grow, Hierarchical Structure...

Hierarchical Structures : As the abstractions from concrete objects and materials become more and more general, they represent wider and wider ideas. If we put down each step of

Frequency polygon, how to compute the frequncy polygon of the scores?

how to compute the frequncy polygon of the scores?

Combinations, Now we take up combinations and its related concepts. C...

Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the

Triangles, ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lr...

ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2

Separable differential equations, We are here going to begin looking at non...

We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di

Multiplacation, write and solve a problem of multiplacation that uses: esti...

write and solve a problem of multiplacation that uses: estimate explaning numbers picturs and another operation?

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages