Home
Class 12
MATHS
Mr. B has two fair 6-sided dice, one who...

Mr. B has two fair 6-sided dice, one whose faces are numbered 1 to 6 and the second whose faces are numbered 3 to 8. Twice, he randomly picks one of dice (each dice equally likely) and rolls it. Given the sum of the resulting two tolls is 9. The probability he rolled same dice twice is `(m)/(n) ` where m and n are relatively prime positive integers. Find `(m+n)`.

Text Solution

Verified by Experts

The correct Answer is:
7
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|1 Videos

  • PERMUTATION AND COMBINATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|43 Videos

Similar Questions

Explore conceptually related problems

Mr. B has two fair 6-sided dice, one whose faces are numbered 1 to 6 and the second whose faces are numbered 3 to 8. Twice, he randomly picks one of dice (each dice equally likely) and rolls it. Given the sum of the resulting two rolls is 9, The probability he rolled same dice twice is (m)/(n) where m and n are relatively prime positive integers. Then the value of (m+n) is

A dice is thrown two times. Find the probability that the product of numbers of the dice is : 6

Two dice are thrown .It is known that the sum of numbers on the dice was less than 6 , the probability that the sum is less tan 3 is

A dice is thrown twice and the sum of numbers apear to be 6. Find the probability of getting 4 on at least one throw.

Two dice are thrown and it is known that the first die shows a 6. Find the probability that the sum of the numbers showing on two dice is 7.

In one throw of a dice, the result is an even number. Find the probability that it is prime.

What is the probability that the sum of two dice rolls will yield a 4 OR 6?

Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, is

A and B throw two dice each. If A gets a sum of 9 on his two dice, then the probability of B getting a higher sum is

Let X denote the sum of the numbers obtained when two fair dice are rolled. Find the variance and standard deviation of X.