How would I use Bayes Theorem with this? Please write out the steps I need to take, really confused by it. Thanks!
A box has 2 blue and 2 green jelly beans. A bag has 9 blue and 4 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green?
Would I use the following formula?: P(E)=P(F)P(E|F)+P(F^C)P(E|F^C)
You need to calculate the conditional probability $P(TG|BG)$ with $TG$ being the event that the Transferred bean was Green, and $BG$ the event of picking a Green bean from the Bag after the transfer.
To calculate this, use Bayes' Law:
$$P(TG|BG)=\frac{P(BG|TG)\cdot P(TG)}{P(BG)}$$