Algebra II
10.4: Find Probabilities of Disjoint
and Overlapping Events
HW: p.710 (8 – 38 even)
Chapter 10 Test: Thursday
Overlapping Events
Two events are overlapping if they have one
or more outcomes in common.
P(A or B) = P(A) + P(B) – P(A and B)
Disjoint Events
Two events are disjoint, or mutually exclusive,
if they have no outcomes in common.
P(A or B) = P(A) + P(B)
A
B
Events A and B are disjoint.
Find P(A or B).
1.) P(A) = 0.2, P(B) = 0.3
2.) P(A) = 34%, P(B) = 45%
Find the indicated probability.
1.) P(A) = 47%, P(B) = 21%,
P(A or B) = 0.25, P(A and B) = ____________.
2.) P(A) = 0.25, P(B) = 0.32,
P(A or B) = 0.45, P(A and B) = ____________.
A card is randomly drawn from a standard
deck of 52 cards. Find the probability of
drawing the indicated card.
1.) A heart or a diamond
2.) A spade or an even card
A card is randomly drawn from a standard
deck of 52 cards. Find the probability of
drawing the indicated card.
3.) A 6 or a 7
4.) An ace or a spade
A card is randomly drawn from a standard
deck of 52 cards. Find the probability of
drawing the indicated card.
5.) An ace and a spade
6.) A face card and a 4
7.) A spade and an even card
Algebra II
10.5: Find Probabilities of
Independent and Dependent
Events
HW: worksheet
A jar contains 10 blue, 4 red,&6 white marbles.
1.) Find the probability of choosing a red,
then a white marble with replacement.
2.) Find the probability of choosing a red,
then a white marble without replacement.
A jar contains 10 blue, 4 red,&6 white marbles.
3.) Three marbles are chosen with
replacement, find the probability that they
are not white.
A jar contains 10 blue, 4 red,&6 white marbles.
4.) Three marbles are chosen without
replacement, find the probability where at
least one marble is white.
Find the probability of drawing the given
cards from a standard deck of 52 cards
(a) with replacement and
(b) without replacement.
1.) a heart, then a spade
Find the probability of drawing the given
cards from a standard deck of 52 cards
(a) with replacement and
(b) without replacement.
2.) a king, then a queen
Find the probability of drawing the given
cards from a standard deck of 52 cards
(a) with replacement and
(b) without replacement.
3.) a 10, then a 10, then another 10
Find the probability of drawing the given
cards from a standard deck of 52 cards
(a) with replacement and
(b) without replacement.
4.) a 4, then a 3, then a 2