First piece of information
You have 100 large bowls and in each bowl you have 1000 balls.
45 of the large bowls have 700 black balls and 300 red balls.
55 of the large bowls have 300 black balls and 700 red balls.
What is the probability that one randomly selected large bowl have more black balls?
Now from the 100 large bowls, 1 bowl is randomly selected. Then 12 balls
are randomly drawn from the bowl ( with replacement) with the following
results: 8 were black balls and 4 were red balls.
Question 2: What is the probability that this bowl has more black balls?