Home
Class 12
MATHS
Let two fair six faced dice A and B be t...

Let two fair six faced dice A and B be thrown simultaneously. If `E_(1)` is the event that die A shows up four, `E_(2)` is the event that die B shows up two and `E_(3)` is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true?

A

`E_(1) "and" E_(2)` are independent

B

`E_(2)" and" E_(1)` are independent

C

`E_(1)" and" E_(3)` are independent

D

`E_(1), E_(2)" and" E_(3)` are independent

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos
  • ARCHIVE

    CHHAYA PUBLICATION|Exercise WBJEE Archive|13 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos
  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Let two fari six-faced dice A and B be thrown simltaneously. If E_(1) is the event that die A shows up four, E_(2) is the event that die B shows up two and E_(3) is the event that the sum of numbers on both dice isodd, then which of the following statement is NOT True ?

For any two events A and B, which of the following is true ?

If A and B are two events, then which one of the following is/are always true?

Two fair dice are rolled. Let P(A_(i))gt0 donete the event that the sum of the faces of the dice is divisible by i. Which one of the following events is most probable?

There unbiased dice are thrown at a time . What is the probability that the number 1 appears at lest once? Given that the number on the first die is 3. What is the probability that the sum of the numbers on the three dice is odd?

Which one of the following is not true for any two events A and B ?

A die is rolled. Let E be the event "die shows 4" and F be the event "die shows even number". Are E and F mutually exclusive?

A die thrown twice. If A is the event of getting a multiple of three in first through and B is the event of getting a sum less than 8 in two throws, then P(A//B) =

Two unbiased dice are thrown .Let A be the event that the sum of the digits shown on the two dice is 5 and B be the event that at least one of the dice shows up a 5. Are the two events i. mutually exclusice? (ii) exhaustive? Give arguments in support of your answer.

A die is thrown. If E is the event the number appearing is a multiple of 3' and F be the event 'the number appearing is even' then find whether E and F are independent ?