Let-A-and-B-be-2-events-such-that-P-A-0-4-P-B-A-0-7-and-P-B-A-0-6-then-find-i-P-B-A-ii-P-A-B-iii-P-B-iv-P-A-B-

Question Number 145869 by Ar Brandon last updated on 09/Jul/21

Let A and B be 2 events such that P (A) = 0.4, P (\bar{B} / A) = 0.7

and P (B / \bar{A}) = 0.6, then find

(i) P (\bar{B} / \bar{A}) (i i) P (A \cap B) (i i i) P (B) (i v) P (A \cup B)

Answered by gsk2684 last updated on 09/Jul/21

u s i n g m u l t i p l i c a t i o n t h e o r e m

P (A \cap \bar{B}) = 0.4 \times 0.7

\Rightarrow P (A) - P (A \cap B) = 0.28

\Rightarrow P (A \cap B) = 0.4 - 0.28 = 0.12

& P (B \cap \bar{A}) = 0.6 \times 0.6

\Rightarrow P (B) - P (B \cap A) = 0.36

\Rightarrow P (B) = 0.36 + 0.12 = 0.48

p r o c e e d w i t h t h e s e

Commented by Ar Brandon last updated on 09/Jul/21

Thank you Sir

Answered by bramlexs22 last updated on 09/Jul/21

Commented by Ar Brandon last updated on 09/Jul/21

Thank you Sir