What is the probability that in a group of three people at least
two will have the same birth month? (Assume that all sequences of
three birth months are equally likely.) (b) What is the probability
that in a group of n people, n ≤ 12 , at least two will have the
same birth month? (c) What is the probability that in a group of n
people, n > 12 , at least two will have the same birth...
(a) Find the probability of being dealt a "nines over kings"
full house (three nines and two kings). (Round your answer to six
decimal places.)
(b) Find the number of different types of full houses. (Ignoring
suit.)
ways
(c) Find the probability of being dealt a full house. (Round your
answer to six decimal places.)
What is the probability that out of a class of 25 people at
least two have the same birthday? Assume that each birthday is
equally likely and that there are only 365 days on which to be born
each year. State you answer as a decimal rounded to six decimal
places.
Consider rolling two 6-sided dice.
What is the probability that
at least two of the rolls have a sum that exceeds 6?
at least 7 of the rolls have a sum that is even?
exactly three rolls have a sum that equals 5?
If two events are independent how do we calculate the
and probability, P(E and F), of the two
events?
(As a side note: this "and" probability, P(E and F), is called
the joint probability of Events E and F. Likewise,
the probability of an individual event, like P(E), is called the
marginal probability of Event E.)
Calculating the probability that in a class of 20 students,
there are at least two with the same birthday.
(a) First, calculate the probability that each student has a
different birthday as follows (round to four decimal places)
b) Explain briefly why the above probability is calculated that
way.
(c) Now note that the probability that there are at least two with
the same birthday is the complement of the above probability. What
is the probability that there are at...