Question

-/11.11 points s may Noves not your rescher v Let A and B be two events in a sample space for which Pr(A) - 2/3, Pr(B) - 1/6 and Pr[AnB) - 1/9 a. What is Pr(AUB)? b. What is Pr(AB)? c. What is Pr(BIA)? d. What is Pr )? e. What is Pr(A)? f. What is Pr(B)? 9. What is Pr(CAU B)')?

Answer 1

Answer:

Given that:

Let A and B be two events in a sample for which
Pr(A) = ?
,  
Pr(B) =
and
Pr(ANB)=

a) What is
Pr(AUB)

Pr(AUB) = P(A) + P(B) - P(ANB)

Pr(AUB) = تا انت +

Pr(AUB) =

b) What is $Pr(\frac{A}{B})$

Prem) = P(ANB)

Prc 18

213

c) What is $Pr(\frac{B}{A})$

Pr Pr - P(ANB) = PA)

Preg

$Pr(\frac{B}{A})= \frac{1}{6}$

d) What is $P(\Omega )$

P(22) = 1- P(AUB)

P(Ω) = 1

P(Ω) =

e) What is
Pr(A)

Pr(A) = 1 - P(A)

Pr(A') = 1 -

Pr(A') =

f) What is
Pr(B)

Pr(B) = 1-PB)

Pr(B') =1-

Pr(B') =

g) What is
P(ANB)

P(ANB) = P(A) - P(ANB)

P(AN B') = 2

P(An B')=

P(AUB) = P(A) + P(B) - P(ANB)

P(AUB) = COIN +

P(AUB) =