Pollution of the rivers in the united states has been a problem for many years. consider the following events: a: the river is polluted, b: a sample of water tested detects pollution, c : fishing is permitted. assume p(a) = 0.3, p(b|a) = 0.75, p(b|ac ) = 0.2, p c|a∩b = 0.2, p c|ac∩b = 0.15, p c|a∩bc = 0.8 and p c|ac ∩ bc = 0.9, then find (1) p(a ∩ b ∩ c) (2) p(bc ∩ c) (3) p(c) (4) find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution. hint: de-morgan’s law (a ∩ b) c = ac ∪ b

(1) 0.045 (2) 0.564 (3) 0.63 (4) 0.1064

Step-by-step explanation:

We use the multiplication rule several times

(1) = (0.2)(0.75)(0.3) = 0.045

(2) =

(0.8)(0.25)(0.3) + (0.9)(0.8)(0.7) =  0.564

(3) =

0.045 + = 0.045 + (0.15)(0.2)(0.7) = 0.066

= 0.066 + 0.564 = 0.63

(4)

= (0.8)(0.25)(0.3)/0.564 = 0.1064

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half