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

Examples on log rules, Examples on Log rules: Example: Calculate...

Examples on Log rules: Example: Calculate (1/3)log 10 2. Solution: log b n√A = log b A 1/n = (1/n)log b A (1/3)log 10 2 = log 10 3 √2 = log 10 1.

How tall was peter when he turned 15, Peter was 60 inches tall on his thirt...

Peter was 60 inches tall on his thirteenth birthday. By the time he turned 15, his height had increased 15%. How tall was Peter when he turned 15? Find 15% of 60 inches and add

Sequencing model, theory about solving sequencing problem using graphical m...

theory about solving sequencing problem using graphical method

Multi step equations, multi step equations?

multi step equations?

difference between two sample means (large sample), Testing The Difference...

Testing The Difference Between Two Sample Means (Large Samples) A large sample is defined as one which have 30 or more items as n≥30 whereas n is the sample size In a busine

Binomial distribution, Binomial Distribution Consider a batch of N ligh...

Binomial Distribution Consider a batch of N light bulbs. Each bulb may be defective (S) or non-defective (F). The experiment involves selecting a light bulb and checking whethe

Mathematical science, state tha different types of models used in operation...

state tha different types of models used in operations research.

Empty set or null set, Empty Set or Null Set It is a set which having ...

Empty Set or Null Set It is a set which having no elements. It is usually designated by a Greek letter Ø, or else { }. The sets Ø and { Ø } are not the same thing since the

How do you find the second minimum spanning tree of a graph, How do you fin...

How do you find the second minimum spanning tree of a graph? Find the second minimum spanning tree of the following graph. Ans: The second minimum spanning tree is acq

Climate and vegetation of southeast asia, 1.) How does the monsoon influenc...

1.) How does the monsoon influence the climate and vegetation of Southeast Asia? 2.) What is the main crop in Southeast Asia and the main systems by which it is produce? How and

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages