Home
Class 12
MATHS
If A and B are two independent events,...

If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by `1" - "P` (A') P (B')

Text Solution

AI Generated Solution

To prove that the probability of occurrence of at least one of the events A and B is given by \( P(A \cup B) = 1 - P(A') P(B') \), where \( A' \) and \( B' \) are the complements of A and B respectively, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Independent Events**: Since A and B are independent events, we know that: \[ P(A \cap B) = P(A) \cdot P(B) ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|42 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A Competition Level Questions)|114 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

If A and B are two independent events, then the probability that only one of A and B occur is

If A and B are two given events, then P(A cap B) is

If A and B are two given events, then P(A cap B) is

If A and B are independent events then P(A cap B) is equal to

If A and B are two events write the expression for the probability of occurrence of exactly one of two events.

If A and B are two independent events, then P( A and B)=P(A) cdot P(B)

If A, B, and C are independent events such that P(A)=P(B)=P(C)=p , then find the probability of occurrence of at least two of A, B, and C.

If A and B' are independent events, then P(A'cupB)=1-P(A)P(B') .

If A and B are two independent events the write P(Auu B ) in terms of P(A) and P(B)dot

If A and B are two independent events such that P (A) = 1//2, P(B)=1//5, then