Home
Class 11
MATHS
The Probability that at least one of the...

The Probability that at least one of the events `E_(1)` and `E_(2)` will occur is 0.6. If the probability of their occurrence simultaneously is 0.2, then find `P(barE_(1))+P(barE_(2))`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will use the information given in the question and apply the relevant probability formulas. ### Step 1: Understand the given information We are given: - The probability that at least one of the events \( E_1 \) and \( E_2 \) occurs, which is represented as \( P(E_1 \cup E_2) = 0.6 \). - The probability that both events occur simultaneously, represented as \( P(E_1 \cap E_2) = 0.2 \).

To solve the problem step by step, we will use the information given in the question and apply the relevant probability formulas. ### Step 1: Understand the given information We are given: - The probability that at least one of the events \( E_1 \) and \( E_2 \) occurs, which is represented as \( P(E_1 \cup E_2) = 0.6 \). - The probability that both events occur simultaneously, represented as \( P(E_1 \cap E_2) = 0.2 \).
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE|72 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise MCQ_TYPE|20 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|1 Videos
  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos

Similar Questions

Explore conceptually related problems

The probabilities that at least one of the events A and B occurs is 0.8 and the probability that both events occur simultaneously is 0.25. Find the probability P(barA)+P(barB) .

The probability that at least one of the events Aa n dB occurs is 0.6. If Aa n dB occur simultaneously with probability 0.2, then find P( barA )+P( bar B )dot

The probability that at least one of the events Aa n dB occurs is 0.6. If Aa n dB occur simultaneously with probability 0.2, then find P( barA )+P( bar B )dot

The probability that at least one of the events A and B occurs is 0.6 . If A and B occur simultaneously with probability 0.2 , find P(barA)+P(barB)

The probability that at least one of the event A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then find P( A )+P( B ) .

The probability that at least one of the events Aa n dB occurs is 0.6. If Aa n dB occur simultaneously with probability 0.2, then find P( A )+P( B )dot

The probability that atleast one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then P(barA) + P(barB) is

The probabilities of the occurrence of two events E_(1) and E_(2) are 0.25 and 0.50 respectively. The probability of their occurrence simultaneously is 0.15, find the probability that neither E_(1) nor E_(2) will occur.

The probability that atleast one of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate P(barA)+P(barB) .

The probability that atleast one of the events A and B occurs is 0.7. If A and B occurs simultaneously with probability 0.35 then find P(bar(A)) + P(bar(B))