There are 4 baskets with numbered balls inside. In the first one, there's the numbers (3, 4, 5), in the second - (1, 2, 3, 4), in the third - (4 , 5) and in the fourth - (1, 2, 3).
If I chose a basket randomly and take out one ball, X is the number on the ball. What is $P(2<X≤4)$?
I thought to do $P(X=3) + P(X=4)$, but firstly I need to get there. so I need to calculate the chances to get out 3 or 4 out of the baskets. so for four the chance is $1/3+1/4+1/2$. The chances to get 3 are - $1/3+1/4+1/3$. My problem is to combine it later with the Bernoulli experiments formula. Do I choose 1 ball out of all the balls in all the baskets?