Home
Class 11
MATHS
If M and N are any two events, the proba...

If M and N are any two events, the probability that at least one of them occurs is

A

`P(M)+P(N)-2P(McapN)`

B

`P(M)+P(N)-P(McapN)`

C

`P(M)+P(N)+P(McapN)`

D

`P(M)+P(N)+2P(McapN)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|7 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|5 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|8 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

If A and B are two events, the probability that exactly one of them occurs is given by

Let E and F be tow independent events. The probability that exactly one of them occurs is 11/25 and the probability if none of them occurring is 2/25 . If P(T) deontes the probability of occurrence of the event T , then

For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P (Exactly one of C or A occurs) =1/4 and P (All the three events occur simultaneously) =1/16dot Then the probability that at least one of the events occurs, is :

A die is thrown twice. What is the probability that at least one of the two throws comes up with the number 4 ?

A coin is tossed twice, what is the probability that at least one tail occurs?

A coin is tossed twice, what is the probability that etleast one tail occurs?

Let A ,B ,C be three events. If the probability of occurring exactly one event out of A and B is 1-x , out of B and C is 1-2x , out of C and A is 1-x , and that of occuring three events simultaneously is x^2 , then prove that the probability that atleast one out of A, B, C will occur is greater than 1/2 .

There letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.

A problem of mathematics is given to three students and probability of solving the problem is (1)/(3), (1)/(3), (1)/(3) respectively. The probability that at least one of them solves the problem is …………

E and F are two independent events. The probability that both E and F happen is 1/12 and the probability that neither E nor F happens is 1/2. Then