There are three bags B(1),B(2),B(3),B(1)...

There are three bags `B_(1),B_(2),B_(3),B_(1)` contians 5 red and 5 green balls. `B_(2)` contains 3 red and 5 green balls and `B_3` contains 5 red and 3 green balls, bags `B_(1),B_(2)` and `B_(3)` have probabilities 3/10, 3/10, and 4/10
respectively of bieng chosen. A bag is selected at randon and a ball is randomly chosen from the bag. then which of the following options is/are correct?

Probability that the chosen ball is green, given that the selected bag is `B_3`, equals `3/8`

Probability that the chosen ball is green equals `39/80`

Probability that the selected bag is `B_3`, given that the chosen ball is green, equals `4/13`

Probability that the selected bag is `B_3` and the chosen ball is green equals `3/10`

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