Question

You have three six-sided dice. Instead of being numbered, the sides of the dice are each colored either red or blue. The first die has five red sides and one blue side (5R-1B), the second die has 3 red and 3 blue sides (3R-3B), and the third has 4 red and 2 blue sides (4R-2B). You pick one of the three dice at random and roll that die twice (i.e., without choosing a new die between rolls). (a) What is the (overall) probability that your first roll comes up red? (b) What is the probability both rolls are red? (c) True or False: The two rolls are independent. (d) Find the conditional probability P{5R-1B die was picked | 1st roll ‘R’}.

          You have three six-sided dice. Instead of being numbered, the
sides of the dice are each colored either red or blue. The first
die has five red sides and one blue side (5R-1B), the second die
has 3 red and 3 blue sides (3R-3B), and the third has 4 red and 2
blue sides (4R-2B). You pick one of the three dice at random and
roll that die twice (i.e., without choosing a new die between
rolls).
 
(a)
What is the (overall) probability that your first roll comes up
red?
(b)
What is the probability both rolls are red?
(c)
True or False: The two rolls are independent.
(d)
Find the conditional probability P{5R-1B
die was picked | 1st roll ‘R’}.

Added by Amy G.

Question

Please give Ace some feedback