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

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:
`:.` E and F are not mutually exclusive.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE : 16.3|28 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Miscllaneous Exercise : 16|10 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (QUESTION OF MODULE )|11 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 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?

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 ?

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

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 ?

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

A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P""(AuuB) is

Consider the experiment of rolling a 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.