Nam e____________________________________________
Topics in Pre-Calc II – Independent vs Dependent Probability HOMEWORK
Date _____
1. A box contains 5 red poker chips, 7 white poker chips, and 6 blue poker chips. Three chips are selected at random
without replacement. Find the probability that:
a) all three chips are red
b) the first chip is red, the second chip is red, and the last chip is blue
c) no white chips are selected
2. A bag contains 4 red jelly beans and 3 green jelly beans. Find the probability of:
a)
b)
c)
d)
drawing a red jelly bean, replacing it and then drawing a green jelly bean
drawing a red jelly bean, eating it and then drawing a green jelly bean
drawing three red jelly beans, without replacement
not drawing three red jelly beans simultaneously
3. A group consists of 8 administrators, 10 teachers, and 12 students. A committee is formed by the random selection
of four people. Find the probability that:
a) the first person is a student, the next two are teachers, and the last selected is an administrator
b) all are administrators
c) none are administrators
4. An urn contains 5 purple and 3 white marbles. Two marbles are drawn. Draw a sample space for the event, using a
tree diagram.
5. Two fair six-sided dice are rolled. Find the probability that:
a)
b)
c)
d)
the sum is 7
the sum is at least 10
the sum is not 13
the sum is between 2 and 5, inclusive
6. A single card is drawn from a standard 52-card deck. Find the probability that:
a)
b)
c)
d)
a black card is drawn
a green card is drawn
a club is selected
a face card is not selected
7. From a group of 20 athletes it is found that 13 play billiards, 12 played golf and 5 played both.
a) Draw and label a Venn diagram to represent this information
b) Find the probability that an athlete chosen at random
i.
plays golf
ii.
does not play billiards
iii.
plays billiards and golf
iv.
plays billiards or golf
8. Shade in the Venn diagrams to represent the given sets:
9. Write down an expression to describe the shaded area on the following Venn diagrams.
3, 
10. Consider the numbers 2,
2
and the sets
3
,
,
, and
.
Complete the table below by placing a tick in the appropriate box if the number is an element of the
set, and a cross if it is not.
(i)
2
(ii)
3
(iii)

2
3
11. Express the following inequality graphing using set-builder notation: