Q16 of 54 Page 403

Events E and F are such that P (not E or not F) = 0.25, State whether E and F are mutually exclusive.

Given: P(not E and not F) = 0.25



⇒1-P(E∩F)=0.25


⇒P(E∩F)=1-0.25=0.75 ≠0


∴ E and F are not mutually exclusive events.


More from this chapter

All 54 →
14

Given P(A) = and P(B) =. Find P(A or B), if A and B are mutually exclusive events.

 15

If E and F are events such that P (E) =, P(F) = and P(E and F) =, find

(i) P (E or F)


(ii) P (not E and not F).

 17

A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine

(i) P(not A),


(ii) P(not B) and


(iii) P(A or B)

 18

In Class XI of a school 40% of the student’s study Mathematics and 30% study Biology. 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.