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Vera_Pavlovna [14]
3 years ago
11

P(A) = 0.7 P(A and B) = 0.21 P(B\A) =

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

1) Conditional probability P(B/A)=0.3

2) P(A and B)=0.28

Step-by-step explanation:

1) Given that P(A)=0.7 and P(A and B)=0.21

To find the conditional probability :

Conditional probability P(B/A)=\frac{P(A and B}{P(A)} when P(A)>0

Substitute the values  P(A)=0.7 and P(A and B)=0.21 in above formula we get

P(B/A)=\frac{0.21}{0.7}[tex]=0.3

Therefore P(B/A)=0.3

Therefore the Conditional probability P(B/A)=0.3

2) Given that P(A)=0.4 and P(B)=0.7 and  also given that Events A and B are independents

To find P(A and B) :

P(A and B)=P(A)\times P(B)

Substitute the values  P(A)=0.4 and P(B)=0.7 in above formula we get

P(A and B)=(0.4)\times (0.7)

=0.28[/tex]

Therefore P(A and B)=0.28

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