PROBABILITY AND ODDS
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PROBABILITY AND ODDS The PROBABILITY of a simple event is a ratio of the number of favorable outcomes for the event to the total number of possible outcomes of the event. outcomes possible of no outcomes favorable of no a P . . ) (
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PROBABILITY AND ODDS. The PROBABILITY of a simple event is a ratio of the number of favorable outcomes for the event to the total number of possible outcomes of the event. PROBABILITY AND ODDS. - PowerPoint PPT Presentation
Transcript of PROBABILITY AND ODDS
PROBABILITY AND ODDS
The PROBABILITY of a simple event is a ratio of the number of favorable outcomes
for the event to the total number of possible outcomes of the event.
outcomespossibleofnooutcomesfavorableofnoaP
..)(
PROBABILITY AND ODDS
outcomespossibleofnooutcomesfavorableofnoaP
..)(
What is the probability of drawing a blue marble out of a bowl that contains 4 blues,
4 greens and 2 reds.
)(blueP52
%40104
PROBABILITY AND ODDS
outcomespossibleofnooutcomesfavorableofnoaP
..)(
What is the probability of drawing out an ace from a deck of 52 cards?
524
131
%7.7)(aceP
PROBABILITY AND ODDS
outcomespossibleofnooutcomesfavorableofnoaP
..)(
What is the probability of drawing out a king from a deck of 52 cards?
524
131
%7.7)(kingP
PROBABILITY AND ODDS
outcomespossibleofnooutcomesfavorableofnoaP
..)(
What is the probability of rolling a 4 on a six-sided die?
61
%7.16)4(P
PROBABILITY AND ODDS
outcomeseunfavorablofnooutcomesfavorableofnoOdds
..
What are the odds of drawing out an Ace from a deck of 52 cards?
Odds121
Don’t write the odds as a percent!
12:1484
PROBABILITY AND ODDS
outcomeseunfavorablofnooutcomesfavorableofnoOdds
..
What are the odds of rolling an even number on a die?
Odds 1:133
PROBABILITY AND ODDS
outcomeseunfavorablofnooutcomesfavorableofnoOdds
..
What are the odds against rolling a three on a die?
Odds 1:515
PROBABILITY AND ODDS
If the probability of an event happening is 1/6, then what are the odds that the event will happen?
51
5:1
)(eventP61
Odds
outcomestotaloutcomesfavorable
outcomeseunfavorabloutcomesfavorable
PROBABILITY AND ODDS
The sports analyst said that there was a 60% probability that the home team would win.
What are the odds that the home team will win?
23 2:3
%60)( winmehoP10060
53
Odds
SQUARE ROOTS
A SQUARE ROOT is one of two equal factors of a number.
2555
36 6 100 10 9 3
525, so
SQUARE ROOTS
A number whose square root is a rational number is a PERFECT SQUARE.
Which of the following numbers is a PERFECT SQUARE?
25 Yes48 No18 No
81 Yes49 Yes
144 Yes
SQUARE ROOTS
41
21
SQUARE ROOTS
3625
65
SQUARE ROOTSIRRATIONAL NUMBERS
Square roots of perfect squares are rational numbers.
Square roots of numbers that are NOT perfect squares are irrational
numbers.
IRRATIONAL NUMBERS are numbers that cannot be expressed
as a fraction of two integers.
IRRATIONAL NUMBERS
NATURAL NUMBERS {1, 2, 3,…} + {0}
= WHOLE NUMBERS {0, 1, 2, 3,…} + NEG. WHOLE NOS.
= INTEGERS {…-2, -1, 0, 1, 2,…} + PURE FRACTIONS
= RATIONAL NUMBERS + IRRATIONAL NUMBERS
= REAL NUMBERS
IRRATIONAL NUMBERS
NAME THE SET(S) OF NUMBERS THAT EACH OF THE FOLLOWING BELONG:
17 Naturals, Wholes, Integers, Rationals, Reals
Integers, Rationals, Reals16
Irrationals , Reals17
Rationals, Reals41
GRAPHING REAL NUMBERS
GRAPH THE SOLUTION SET FOR x > 5
0 2 4 6-2-4-6
GRAPHING REAL NUMBERS
GRAPH THE SOLUTION SET FOR x < 1
0 2 4 6-2-4-6
GRAPHING REAL NUMBERS
GRAPH THE SOLUTION SET FOR x ≠ -2
0 2 4 6-2-4-6
REAL NUMBERS
List the following numbers in order, least to greatest.
-7, 16/3, , 0, 4.314
-7
, 0, , 4.3, 16/314
REAL NUMBERS
What two consecutive integers is each of the following between:
20 is between 4 and 5
40 is between 6 and 7
92 is between 9 and 10
