(1). a number is randomly selected from {80, 81, 82, 83, 84, 85, 86}. a is represented by the event that the number picked is less than 84. what is the probability of the complement of event a? express your answer in a simplified fraction.

(2) a bouquet of flowers has 3 pink roses, 5 red roses, and 4
yellow roses. a represents the event that a randomly
selected flower is a pink rose. what is the probability of
the complement of event a? express your answer as a
simplified fraction.

(3) a car license plate is made up of 7 letters or numbers, where
the numbers are whole numbers 0 – 9. suppose that a
license plate is randomly generated, one character at a time.
what is the probability that the first character is a number?
express your answer as a decimal to the nearest hundredth.

(4) two number cubes are rolled. what is the probability,
expressed as a simplified fraction, that the first lands on 6
and the second lands on an odd number?

(5) vicki would like to estimate the probability of tails
coming up fewer than 2 times in 3 coin flips. to do
this, she has a computer randomly select 0 or 1
three times, with 0 representing heads and 1
representing tails. the results of 15 trials are
shown in the table. what is vicki’s estimated
probability, based on the simulation as a fraction?

110 111 000 011 000
010 101 100 000 000
111 101 110 101 111