Home
Class 12
MATHS
There are two die A and B both having si...

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then
When x = 4, then P(E) is equal to

A

`5//9`

B

`6//7`

C

`7//18`

D

`8//19`

Text Solution

Verified by Experts

The correct Answer is:
C

The number of ways in which different sums can occurs is (3 + 2 + 1)(1 + 2 + 3) = 36. The probability of 4 is `14//36 = 7//18`.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE|Exercise Exercise (Matrix)|2 Videos
  • PROBABILITY I

    CENGAGE|Exercise Exercise (Numerical)|7 Videos
  • PROBABILITY I

    CENGAGE|Exercise Exercise (Multiple)|8 Videos
  • PROBABILITY AND STATISTICS

    CENGAGE|Exercise Question Bank|24 Videos
  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

Similar Questions

Explore conceptually related problems

There are two die A and B both having six faces. Die A has three faces marked with 1 , two faces marked with 2 , and one face marked with 3 . Die B has one face marked with 1 , two faces marked with 2 , and three faces marked with 3 . Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E , then P(E) is maximum when x equal to

The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is

How many bones from the skeleton of the face ?

Two dice are rolled once. Find the probability of getting an even number on the first die or a total of face sum 8.

Two dice are rolled simultaneously. Find the probability that the sum of the numbers on the faces is neither divisible by 3 nor by 4.

A six sided die is marked 1 on one face 2 on two of its faces and 3 on remaining three faces . The die is rolled twice . If X denotes the total score in two throws .

Two dice are rolled together. Find the probability of getting a doublet or sum of faces as 4.