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 the lesser of two consecutive positive even integers, Find the lesser ...

Find the lesser of two consecutive positive even integers whose product is 168. Let x = the lesser even integer and let x + 2 = the greater even integer. Because product is a k

Important formulas of functions , Important formulas d (a b )/ dx = 0...

Important formulas d (a b )/ dx = 0 This is a constant d ( x n ) / dx = nx n -1 Power Rule d (a x ) / dx = a x l

Find out ratio, the sides of a right angle triangle are a,a+d,a+2d with a a...

the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d a)1:2 b)1:3 c)3:1 d)5:2 answer is (c) i.e. 3:1 Solution: Applying

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Geometry, all basic knowledge related to geometry

all basic knowledge related to geometry

Determine multiplications required to obtain the determinant, Don't count t...

Don't count the number of divisions. Do not use asymptotic notation, instead provide exact answers. (i) What is the maximum number of multiplications required to solve a system

Example of developing an understanding, I gave my niece a whole heap of bea...

I gave my niece a whole heap of beads and showed her how to divide it up into sets of 10 beads each. Then I showed her how she could lay out each set of I0 beads in a line, and cal

Geometry help, A painter leans a 10-foot ladder against the house she is to...

A painter leans a 10-foot ladder against the house she is to paint. The foot of the ladder is 3 feet from the house. How far above the ground does the ladder touch the house? Appro

Verification cayley Hamilton theorem, (1 0 3 21 -1 1 -1 1) find A-1

(1 0 3 21 -1 1 -1 1) find A-1

Estimate whose time was the fastest, Nancy, Jennifer, Alex, and Joy ran a r...

Nancy, Jennifer, Alex, and Joy ran a race. Nancy's time was 50.24 seconds, Jennifer's was 50.32, Alex's was 50.9, and Joy's was 50.2. Whose time was the fastest? The fastest ti

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages