Question

If p(a) = 0.4, p(b |

a.= 0.35, p(a b) = 0.69, then p(b) =

Answer 1

p(b/a)= p(a intersection b)/p(a)
0.35 =0.69/0.4. Here p(a/b)=p(a n b)/p(b).
p(b) =p(a n b)/p(a/b) in this way we can find p(b). Here p(a/b) is not given.

Answer 2

Answer:

P(B) = 0.43

Step-by-step explanation:

We know,

P(A∩B) = P(A) P(B|A)

P(A∪B) = P(A) + P(B) - P(A∩B)

Given:

P(A) = 0.4

P(B|A) = 0.35

P(A∪B) = 0.69

Putting the value in first equation:

P(A∩B) = $(0.4)(0.35) = 0.14$

Finding P(B),

$0.69=0.4+P(B)-0.14\\0.69=P(B)+0.26\\P(B)=0.69-0.26=0.43$