1. Suppose you had a HUGE bin of millions and millions of M&M candies, with the follo
1. Suppose you had a HUGE bin of millions and millions of M&M candies, with the
following distribution:
brown .50
red .25
blue .10
yelllow all the rest
(a) Suppose you select one M&M candy at random. What is the probability that it
is yellow?
(b) Suppose you select one M&M candy at random. What is the probability that it
is blue or brown?
(c) Suppose you select three M&M candies at random. What is the probability that
all three are brown?
(d) Suppose you select three M&M candies at random. What is the probability that
none of the three are brown?
(e) Suppose you select three M&M candies at random. What is the probability that
at least one of the three is red?
2. In my neighborhood, 45% of the residents cut their own firewood (F), 35% grow their
own vegetables (V), and 20% do both (F and V).
(a) What is the probability that one of my neighbors either cuts his own firewood or
grows his own vegetables?
(b) What is the probability that one of my neighbors does neither?
(c) What is the probability that one of my neighbors cuts his own firewood, but does
not grow his own vegetables?
(d) Calculate P (V |F).
3. Suppose you have a box with 8 yellow ping-pong balls, and 5 white ping-pong balls.
Find the probability of each event described.
(a) I select two ping-pong balls at one time, and both are white.
(b) I select three ping-pong balls at one time, and at least one is white.
(c) I select three ping-pong balls, one at a time, without replacement. The third
ping-pong ball is the first yellow ball I choose.
