Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
Advertisement Remove all ads

The probability that atleast one of A and B occur is 0.6. If A and B occur simultaneously with probability 0.2, then find p(A¯)+P(B¯) - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Sum

The probability that atleast one of A and B occur is 0.6. If A and B occur simultaneously with probability 0.2, then find `"P"(bar"A") + "P"(bar"B")`

Advertisement Remove all ads

Solution

Here P(A ∪ B) = 0.6, P(A ∩ B) = 0.2

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

0.6 = P(A) + P(B) – 0.2

P(A) + P(B) = 0.8

`"P"(bar"A") + "P"(bar"B")` = 1 – P(A) + 1 – P(B)

= 2 – [P(A) + P(B)]

= 2 – 0.8

= 1.2

Concept: Algebra of Events
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 10th SSLC Mathematics Answers Guide
Chapter 8 Statistics and Probability
Exercise 8.4 | Q 4 | Page 330
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×