Question

If P(A)=3/8,P(B)=1/2 and P(A int B)=1/2,find P(A'|B') and P(B'|A')

Answer 1

Answer

Step-by-step explanation:

Concept:

Addition theorem of probability

P(AUB) = P(A)+P(B)-P(A∩B)

P(A/B)=P(A∩B)/P(B)

Given:

P(A)=3/8 and P(B)=1/2

P(A∩B) = 1/2

By addition theorem of probabability

P(AUB) = P(A)+P(B)-P(A∩B)

P(AUB) =$\frac{3}{8}+\frac{1}{2}-\frac{1}{2}$

P(AUB) =$\frac{3}{8}$

P((AUB)')=1-P(AUB)

P((AUB)')=1-$\frac{3}{8}$

P((AUB)')=$\frac{8-3}{8}$

P((AUB)')=$\frac{5}{8}$

P(A')= 1 - P(A)

P(A')= 1 - $\frac{3}{8}$

P(A')= $\frac{8-3}{8}$

P(A')= $\frac{5}{8}$

P(B')= 1 - P(B)

P(B')= 1-$\frac{1}{2}$

P(B')=$\frac{1}{2}$

P(A'/B')

= P(A'∩B')/P(B')

=P((AUB)')/P(B')

$=\frac{\frac{5}{8}}{\frac{1}{2}}\\\\=\frac{5}{4}$

P(B'|A')

= P(A'∩B')/P(A')

=P((AUB)')/P(A')

$=\frac{\frac{5}{8}}{\frac{5}{8}}$

=1

Answer 2

Answer:

land

Step-by-step explanation:

loda mera glt answer h