Transcript 1pt

Mutually
Exclusive
Overlapping
Or Inclusive
Independent
Dependent
Expected
Value
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A teacher has 9 red crayons, 4 blue
crayons, 7 purple crayons, and 5
black crayons in a basket. A student
reaches into the basket and randomly
selects a crayon. What is the
probability that the crayon will be
either blue or black?
9
25
A six sided number cube
with faces numbered 1-6
is rolled. What is the
probability that an even
number or a 3 will be
rolled?
4 2
or
6 3
A box containing 4 green
tiles, 8 white tiles, and 10
red tiles. Manuel will reach
into the box and select a
tile without looking. What
is the probability that he
will select either a green
tile or a red tile?
14
7
or
2 11
Beth has a spinner which
is divided into seven equal
sections for the days of
the week. Beth will spin
two times. What is the
probability that the arrow
will land on either
Saturday or Sunday both
times?
2 2 4
 
7 7 49
Harrison has a spinner that
is divided into 15 congruent
sections. It has 6 red
sections, 8 blue sections and
1 yellow section. Harrison
will spin once. What is the
probability that it will land on
a blue section or a yellow
section?
9
3
or
15 5
You have 4 blue cards
numbered 1-4 and 4 red
cards number 1-4. What is
the probability that you
choose a blue card and a
number “3” card?
4 2 1 5
  
8 8 8 8
A six sided number cube
with faces numbered 1-6
is rolled. What is the
probability that an even
number or a 2 will be
rolled?
3 1 1 3 1
   or
6 6 6 6 2
You have been asked to pick
one card from a deck of
UNO cards. Would choosing
a 4 or a blue card be
mutually exclusive?
NO…..because there is a
blue card that is also a “4”
A pair of dice is rolled.
What is the probability that
the sum will be greater
than 8 or a “12”?
6
1
1
6
1
 
 or
36 36 36 36 6
All students with a jacket
line up on the left side of
the room. All students with
a cell phone line up on the
right side of the room. Is
this a mutually exclusive
event?
NO…..because there may
be a student with a jacket
that also has a cell phone
Greg wrote the numbers 1-9 on
pieces of paper and placed
them in a hat. He randomly
selected one piece of paper and
replaced it. What is the
probability that he will select a
piece of paper with an odd
number on it and then select
the number 4?
5 1 6 2
  or
9 9 9 3
There are 6 red apples, 4
yellow apples, and 2 green
apples in a bucket. Maria will
choose two apples at random
with replacement. What is
the probability that Maria
will choose a red apple and a
yellow apple?
6 4 1
 
12 12 6
What is the
probability of
choosing a face
and
a heart with
replacement?
4 7
7
 
16 16 64
What is the
probability of
picking two
triangles replacing
the first before you
pick again?
2 2
1
 
16 16 64
Terrell casts his line into a pond
containing 7 catfish, 8 bream, 3
trout and 6 stump-knockers. He
immediately catches a trout and
releases it because it is too
small. What are the chances that
he will catch another trout the
next time he casts his line?
3 1

24 8
Greg wrote the numbers 1-9 on
pieces of paper and placed them
in a hat. He randomly selected
one piece of paper and replaced
it. What is the probability that he
will select a piece of paper with
an odd number on it and then
select one with an even number
on it?
5 4 20
 
9 9 81
Seth places 7 red cards , 9 blue
cards and 4 yellow cards in a
bag. All the cards are the same
size and shape. He randomly
selects a card. It is yellow. He
does not replace it. Seth will
randomly select a second card
from the bag. What is the
probability that he will select a
blue card?
4
19
There are 6 red apples, 4
yellow apples, and 2 green
apples in a bucket. Maria will
choose two apples at random
without replacement. What is
the probability that Maria
will choose a red apple and a
green apple?
6 2 1
 
12 11 11
Greg wrote the numbers 1-9 on
pieces of paper and placed them in
a hat. He randomly selected one
piece of paper and did not replace
it. What is the probability that he
will select a piece of paper with an
odd number on it and then select
one with an even number on it?
5 4 5
 
9 8 18
A bag contains 3 blue marbles
and 3 red marbles. Kevin
reached in and drew out one
marble. Then without replacing
the marble, he drew out a
second one. What is the
probability that Kevin draws out
2 blue marbles?
3 2 1
 
6 5 5
What is the expected
value of 1 roll of a six
sided number cube
numbered 1-6?
3.5
The CCHS high school
tennis team sells 1000
raffle tickets. Each ticket
costs a $1 and the random
winner will win $500. If
you buy one ticket, what is
your expected gain?
$0.50
A spinner has three sections each with
different point values.
2
1 point section is of the area
3
1
2 point section is of the area
4
3 point section is 1 of the area
12
To the nearest tenth of a point, what is
the expected value?
1.4
Ryan puts 2 nickels, 2
dimes and 1 quarter. He
then picks one coin at
random. What is the
expected value in cents of
each pick in this
experiment?
$0.0532
or
$0.05
You take an exam that has 4 possible
answers. You gain three points for
each correct answer and lose one
point for each incorrect answer and
do not gain or lose points for answers
left blank. If you do not know the
correct answer, is it to your advantage
to guess the answer? Explain
1
3
E  3    1  
4
4
3 3

0
4 4
Because the expected value is ZERO
when guessing, it is neither to your
advantage nor to your disadvantage
to guess.