SATHEE: Probability 2 Question 7

Probability 2 Question 7

7. Two events $A$ and $B$ have probabilities 0.25 and 0.50 , respectively. The probability that both $A$ and $B$ occur simultaneously is 0.14 . Then, the probability that neither $A$ nor $B$ occurs, is

(a) 0.39

(b) 0.25

(c) 0.11

(d) None of these

Objective Questions II

(One or more than one correct option)

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Answer:

Correct Answer: 7. (c)

Solution:

Given, $P (A) = 0.25, P (B) = 0.50, P (A \cap B) = 0.14$

$∴ P (A \cup B) = P (A) + P (B) - P (A \cap B)$

$= 0.25 + 0.50 - 0.14 = 0.61$

Now, $P (\overset{―}{A \cup B}) = 1 - P (A \cup B) = 1 - 0.61 = 0.39$

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Probability 2 Question 7

7. Two events A and B have probabilities 0.25 and 0.50 , respectively. The probability that both A and B occur simultaneously is 0.14 . Then, the probability that neither A nor B occurs, is

Objective Questions II

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7. Two events $A$ and $B$ have probabilities 0.25 and 0.50 , respectively. The probability that both $A$ and $B$ occur simultaneously is 0.14 . Then, the probability that neither $A$ nor $B$ occurs, is