Home
Class 11
MATHS
A die is rolled. Let E be the event "die...

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?

Text Solution

Verified by Experts

The correct Answer is:
No
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT BANGLISH|Exercise EXERCISE 16.3|21 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISEON CHAPTER 16|1 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise EXERCISE 16.1|16 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT BANGLISH|Exercise EXERCISE - 4.1|24 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

Similar Questions

Explore conceptually related problems

A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, and B be the event, the number is red. Are A and B independent?

A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, 'the number is even,' and B be the event, 'the number is red'. Are A and B independent?

Three coins are tossed once. Let A denote the event 'three heads show", B denote the event "two heads and one tail show", C denote the event" three tails show and D denote the event 'a head shows on the first coin". Which events are (i) mutually exclusive? (ii) simple (iii) Compound?

A fair coin and an unbiased die are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the die'. Check whether A and B are independent events or not.

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 ?

In the random rxperiment of rolling an unbiased die, let A be the event of getting a digit less than 4 and B be then event of getting a digit greater than 3 , show that the events A and B are mutually exclusive and exhaustive.

Events E and F are such that P(not E or not F) = 0.25 , State whether E and F are mutually exclusive.

Let E denote the random experimnet of rolling two unbiased dice and A and B are two events connected with E. The event A occur if the sum of the digits shown on the two dice is 7 while the event B occurs if at least one of the dice shows up a 4. show that the events A and B neither mutually exclusive nor exhaustive.

Consider the experiment of rolling die. Let A be the event 'getting a prime number'. B be the event 'getting an odd number'. Write the sets representing the events (i) A or B (ii) A and B (iii) A but not B (iv) 'not A'.

An unbiased die is thrown twice. Let the event A be "odd number on the first throw" and B the event "odd number on the second throw". Check the independence of the events A and B.