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2‐6 Probability: Simple
Probability and Odds
Page 99: 15‐49 odd,
51 56,
51‐56,
61‐81 odd
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Example 1
p 2
Example
Example 3
Example 4
Find Probabilities of Simple Events
Odds of an Event
Odds Against an Event
Probability and Odds
Find the probability of rolling a number greater than 2 on a die.
There are six possible outcomes. Four of the outcomes are favorable.
That is, four of the six outcomes are numbers greater than two.
4 numbers
greater than 2
Sample space:
1, 2, 3, 4, 5, 6
6 possible
p
outcomes
Answer:
swe :
A class contains 6 students with black hair, 8 with brown hair, 4 with
blonde hair, and 2 with red hair. Find P(black).
There are 6 students with black hair and 20 total students.
number of favorable outcomes
number of possible outcomes
Simplify.
Answer:
The probability of selecting a student with black
hair is
A class contains 6 students with black hair, 8 with brown hair, 4 with
blonde hair, and 2 with red hair. Find P(red or brown).
There are 2 students with red hair and 8 students with brown hair.
hair So
there are 2 + 8 or 10 students with red or brown hair.
number of favorable outcomes
number of possible outcomes
Simplify.
p y
Answer:
The probability of selecting a student with red
or brown
hair is
b
h
A class contains 6 students with black hair, 8 with brown hair, 4 with
blonde hair, and 2 with red hair. Find P(not blonde).
There are
6 + 8 + 2 or 16 students who do not have blonde hair.
number of favorable outcomes
number of possible outcomes
Simplify.
Answer:
The probability of selecting a student who does
not have blonde hair is
a.
Find the probability of rolling a
number less than 3 on a die.
Answer:
b.
A gumball machine contains 40 red gumballs, 30 green gumballs, 50
yellows gumballs, and 40 blue gumballs. Find P(red).
Answer:
c.
A gumball machine contains 40 red gumballs, 30 green gumballs, 50
yellows gumballs, and 40 blue gumballs. Find P(green or yellow).
d.
Answer:
A
gumball machine contains 40 red gumballs,
g
g
, 30 g
green g
gumballs,, 50
yellows gumballs, and 40 blue gumballs. Find P(not blue).
Answer:
Find the odds of rolling a number greater than 2.
There
h
are six
i possible
ibl outcomes, 4 are successes and
d 2 are ffailures.
il
4 numbers
b
greater than 2
Sample
p space:
p
1, 2, 3, 4, 5, 6
2 numbers
less than or
equal to 2
Answer:
The odds of rolling a number greater than
Find the odds of rolling a number less than 4.
Answer:
A card is selected at random from a standard deck of 52 cards.
What are the odds against selecting a 2 or 3?
There are four 2s and four 3s in a deck of cards,, and there are
– 4 or 44 cards that are not a 2 or a 3.
52 – 4
number of ways not to pick
a 2 or 3
number of ways to pick
a 2 or 3
Answer: The odds against selecting a 2 or 3 are 11:2.
A card is selected at random from a standard deck of 52 cards.
What are the odds against selecting a 5, 6, or 7?
Answer: 10:3
Travel Melvin is waiting to
board a flight to Washington,
D C According
D.C.
A
di tto the
th airline,
i li
the
th fli
flight
ht h
he iis waiting
iti ffor iis on ti
time 80% off
the times it flies. What are the odds that the plane will be on time?
The probability that the plane will be on time is 80%, so the probability
that it will not be on time is 20%.
odds of the plane being on time
Answer: The odds that the plane will be on time are 4:1.
If the probability that it will snow this weekend is 70%, what are the odds
that it will snow?
Answer: 7:3