Download Infinite Algebra 2 - Ultimate Probability DEMO / NOTES

Algebra 2
Name___________________________________
©I ^2i0J1g7z pKauitEaF BSmokf\t`wbavrqeY TLTL]CS.J ] ^AFl^lt TrRiigShPthsy TrUensEeprLvgeGdZ.
Ultimate Probability DEMO / NOTES
Date________________ Period____
State if each scenario involves a permutation or a combination. Then find the number of
possibilities. nCr or nPr Remember...more specific = P. Less specific = C
1) Selecting which seven players will be in
the batting order on a 12 person team.
2) There are 30 applicants for three jobs:
computer programmer, software tester,
and manager.
Find the number of possible outcomes in the sample space. n
3) Five books need to be placed on a shelf.
You randomly arrange the books on the
shelf from left to right.
m
or n!
4) A softball player bats five times in a game.
Each at-bat results in an out, getting on
base, or hitting a home run.
Determine whether the scenario involves independent or dependent events. ONLY IF it is
independent, then find the probability. If it is dependent, mark it that way and you are done.
"AND" tells us that it is WAY harder to get the result you need! So multiplying the
probabilities will give us a teeny tiny probability! ("AND" signals to us to multiply)
5) A bag contains eight red marbles and
seven blue marbles. Another bag contains
six green marbles and eight yellow
marbles. You randomly pick one marble
from each bag. One marble is blue and
one marble is yellow.
6) There are fourteen shirts in your closet,
six blue and eight green. You randomly
select one to wear on Monday and then a
different one on Tuesday. You wear a blue
shirt on Monday and a green shirt on
Tuesday.
Events A and B are independent. Find the missing probability. "AND" tells us that it is WAY
harder to get the result you need! So multiplying the probabilities will give us a teeny tiny
probability! ("AND" signals to us to multiply)
7) P(A) =
3
3
P(B) = P(A and B) = ?
10
5
8) P(A) =
9
13
P(B) =
P(A and B) = ?
20
20
Worksheet by Kuta Software LLC
-1-
©q `2w0a1\7q lKRujtLaT YSloffgtmwya]rses RLLLLCj.w E HAYlTlJ PrziwgFh[tKs[ qrmeBsPeMrVvveNdV.h [ sMFaHddeR Ywxikt]h^ HIZnCfiiAnpiXtFev oAHlEgbevbFrmao Z2V.
Determine if the scenario involves mutually exclusive events. Mutually exclusive means that
the things can't overlap. For instance, if you wear a shirt thats ONLY red...it can't then be red
AND another color.
9) A box of chocolates contains six milk
chocolates and seven dark chocolates.
Five of the milk chocolates and two of the
dark chocolates have peanuts inside. You
randomly select and eat a chocoate. It is a
dark chocolate or has no peanuts inside.
10) You roll a fair six-sided die. The die
shows an even number or a number less
than three.
Determine if the scenario involves mutually exclusive events. Then find the probability. This
means the odds will be pretty good for us! It's like having two chances instead of one! So by
adding the fractions we get better odds! ("OR" signals to us to add)
11) A litter of kittens consists of three gray
kittens, two black kittens, and three
mixed-color kittens. You randomly pick
one kitten. The kitten is gray or
mixed-color.
13) P(B) =
1
13
P(A or B) =
P(A) = ?
5
20
12) A box of chocolates contains five milk
chocolates, five dark chocolates, and three
white chocolates. You randomly select a
chocolate. It is a milk chocolate or a dark
chocolate.
14) P(A) =
9
1
P(B) = P(A or B) = ?
20
4
These examples are NOT mutually exclusive. In these examples you must ADD the
m1 m2
probabilities but be sure to subtract any repeated items in the crossover.
+
- crossover/n
n
n
15) You roll a fair six-sided die. The die
shows an odd number or a number greater
than four.
16) A litter of kittens consists of two gray
females, one gray male, two black
females, and two black males. You
randomly pick one kitten. The kitten is
gray or female.
Worksheet by Kuta Software LLC
-2-
©E U2R0f1S7V iKUustfaY mSHoTfOt[wTaBrUeR rL]LCC\.[ a KA[lUlc urXiMgvhCtqsX CrMeAsoeerovneEdT.t u dMTaFdfeI wwAiNtnhL PIVnnf\ijnMiNtQei RALlZgGevbgrWaA u2[.
Algebra 2
Name___________________________________
©] a2g0Z1l7E bKYuJtlaK SSXomf^tNw\aerBep tLzLQCI.j s NAAlalq NrpingdhdtPsC NrCeGssezrgvWexdr.
Ultimate Probability DEMO / NOTES
Date________________ Period____
State if each scenario involves a permutation or a combination. Then find the number of
possibilities. nCr or nPr Remember...more specific = P. Less specific = C
1) Selecting which seven players will be in
the batting order on a 12 person team.
Combination; 792
2) There are 30 applicants for three jobs:
computer programmer, software tester,
and manager.
Permutation; 24,360
Find the number of possible outcomes in the sample space. n
3) Five books need to be placed on a shelf.
You randomly arrange the books on the
shelf from left to right.
m
or n!
4) A softball player bats five times in a game.
Each at-bat results in an out, getting on
base, or hitting a home run.
120
243
Determine whether the scenario involves independent or dependent events. ONLY IF it is
independent, then find the probability. If it is dependent, mark it that way and you are done.
"AND" tells us that it is WAY harder to get the result you need! So multiplying the
probabilities will give us a teeny tiny probability! ("AND" signals to us to multiply)
5) A bag contains eight red marbles and
seven blue marbles. Another bag contains
six green marbles and eight yellow
marbles. You randomly pick one marble
from each bag. One marble is blue and
one marble is yellow.
Independent;
6) There are fourteen shirts in your closet,
six blue and eight green. You randomly
select one to wear on Monday and then a
different one on Tuesday. You wear a blue
shirt on Monday and a green shirt on
Tuesday.
Dependent
4
» 0.267
15
Events A and B are independent. Find the missing probability. "AND" tells us that it is WAY
harder to get the result you need! So multiplying the probabilities will give us a teeny tiny
probability! ("AND" signals to us to multiply)
7) P(A) =
3
3
P(B) = P(A and B) = ?
10
5
8) P(A) =
9
50
9
13
P(B) =
P(A and B) = ?
20
20
117
400
Worksheet by Kuta Software LLC
-1-
©k f2E0m1i7g aKeuntHaC USloSfutfwFaKrDex WLjLlCi.s j TAPlulR [r[i`gmhYtnsZ VrXensseqrrvfeHdy.^ w dMKadd`ew Pwwiltshd rIhnBfairnBiCteev AAdlJgXeub[rjaH ^2B.
Determine if the scenario involves mutually exclusive events. Mutually exclusive means that
the things can't overlap. For instance, if you wear a shirt thats ONLY red...it can't then be red
AND another color.
9) A box of chocolates contains six milk
chocolates and seven dark chocolates.
Five of the milk chocolates and two of the
dark chocolates have peanuts inside. You
randomly select and eat a chocoate. It is a
dark chocolate or has no peanuts inside.
10) You roll a fair six-sided die. The die
shows an even number or a number less
than three.
Not mutually exclusive
Not mutually exclusive
Determine if the scenario involves mutually exclusive events. Then find the probability. This
means the odds will be pretty good for us! It's like having two chances instead of one! So by
adding the fractions we get better odds! ("OR" signals to us to add)
11) A litter of kittens consists of three gray
kittens, two black kittens, and three
mixed-color kittens. You randomly pick
one kitten. The kitten is gray or
mixed-color.
Mutually exclusive;
13) P(B) =
12) A box of chocolates contains five milk
chocolates, five dark chocolates, and three
white chocolates. You randomly select a
chocolate. It is a milk chocolate or a dark
chocolate.
3
= 0.75
4
1
13
P(A or B) =
P(A) = ?
5
20
Mutually exclusive;
14) P(A) =
9
20
10
» 0.769
13
9
1
P(B) = P(A or B) = ?
20
4
7
10
These examples are NOT mutually exclusive. In these examples you must ADD the
m1 m2
probabilities but be sure to subtract any repeated items in the crossover.
+
- crossover/n
n
n
15) You roll a fair six-sided die. The die
shows an odd number or a number greater
than four.
Not mutually exclusive;
2
» 0.667
3
16) A litter of kittens consists of two gray
females, one gray male, two black
females, and two black males. You
randomly pick one kitten. The kitten is
gray or female.
Not mutually exclusive;
5
» 0.714
7
Worksheet by Kuta Software LLC
-2-
©j s2P0M1S7e OKjuntiaQ OSAoUfOt]w\amr]eC bLFLWCU.X B _Aalrl[ OrSiigEhrtFsb grdeesFeertvueKd\.s L SMsand\eM GwOiOtWhz qISnOfMiYnBiOtiem sAZlRgCembQrMaC P2p.