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Landing on a vowel

1 2 .

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Landing on purple or a vowel

5 8 .

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Landing on blue or a vowel

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Landing on green or blue

1 2 .

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Landing on yellow or a consonant

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Not landing on yellow or a consonant

3 8 .

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For the following exercises, two coins are tossed.

What is the sample space?

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Find the probability of tossing two heads.

1 4 .

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Find the probability of tossing exactly one tail.

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Find the probability of tossing at least one tail.

3 4 .

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For the following exercises, four coins are tossed.

What is the sample space?

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Find the probability of tossing exactly two heads.

3 8 .

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Find the probability of tossing exactly three heads.

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Find the probability of tossing four heads or four tails.

1 8 .

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Find the probability of tossing all tails.

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Find the probability of tossing not all tails.

15 16 .

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Find the probability of tossing exactly two heads or at least two tails.

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Find the probability of tossing either two heads or three heads.

5 8 .

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For the following exercises, one card is drawn from a standard deck of 52 cards. Find the probability of drawing the following:

A non-ace

12 13 .

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For the following exercises, two dice are rolled, and the results are summed.

Construct a table showing the sample space of outcomes and sums.

1 2 3 4 5 6
1 (1, 1)
2
(1, 2)
3
(1, 3)
4
(1, 4)
5
(1, 5)
6
(1, 6)
7
2 (2, 1)
3
(2, 2)
4
(2, 3)
5
(2, 4)
6
(2, 5)
7
(2, 6)
8
3 (3, 1)
4
(3, 2)
5
(3, 3)
6
(3, 4)
7
(3, 5)
8
(3, 6)
9
4 (4, 1)
5
(4, 2)
6
(4, 3)
7
(4, 4)
8
(4, 5)
9
(4, 6)
10
5 (5, 1)
6
(5, 2)
7
(5, 3)
8
(5, 4)
9
(5, 5)
10
(5, 6)
11
6 (6, 1)
7
(6, 2)
8
(6, 3)
9
(6, 4)
10
(6, 5)
11
(6, 6)
12
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Find the probability of rolling a sum of 3.

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Find the probability of rolling at least one four or a sum of 8.

5 12 .

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Find the probability of rolling an odd sum less than 9.

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Find the probability of rolling a sum greater than or equal to 15.

0.

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Find the probability of rolling a sum less than 15.

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Find the probability of rolling a sum less than 6 or greater than 9.

4 9 .

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Find the probability of rolling a sum between 6 and 9 , inclusive.

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Find the probability of rolling a sum of 5 or 6.

1 4 .

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Find the probability of rolling any sum other than 5 or 6.

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For the following exercises, a coin is tossed, and a card is pulled from a standard deck. Find the probability of the following:

A head on the coin or a club

3 4

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A tail on the coin or red ace

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A head on the coin or a face card

21 26

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For the following exercises, use this scenario: a bag of M&Ms contains 12 blue, 6 brown, 10 orange, 8 yellow, 8 red, and 4 green M&Ms. Reaching into the bag, a person grabs 5 M&Ms.

What is the probability of getting all blue M&Ms?

C ( 12 , 5 ) C ( 48 , 5 ) = 1 2162

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What is the probability of getting 4 blue M&Ms?

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What is the probability of getting 3 blue M&Ms?

C ( 12 , 3 ) C ( 36 , 2 ) C ( 48 , 5 ) = 175 2162

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What is the probability of getting no brown M&Ms?

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Extensions

Use the following scenario for the exercises that follow: In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20 winning numbers are randomly selected from numbers 1 to 80. A win occurs if the player has correctly selected 3 , 4 , or 5 of the 20 winning numbers. (Round all answers to the nearest hundredth of a percent.)

Questions & Answers

find the equation of the tangent to the curve y=2x³-x²+3x+1 at the points x=1 and x=3
Esther Reply
derivative of logarithms function
Iqra Reply
how to solve this question
sidra
ex 2.1 question no 11
khansa
anyone can help me
khansa
question please
Rasul
ex 2.1 question no. 11
khansa
i cant type here
khansa
Find the derivative of g(x)=−3.
Abdullah Reply
any genius online ? I need help!!
Guzorochi Reply
how can i help you?
Pina
need to learn polynomial
Zakariya
i will teach...
nandu
I'm waiting
Zakariya
plz help me in question
Abish
How can I help you?
Tlou
evaluate the following computation (x³-8/x-2)
Murtala Reply
teach me how to solve the first law of calculus.
Uncle Reply
teach me also how to solve the first law of calculus
Bilson
what is differentiation
Ibrahim Reply
only god knows😂
abdulkadir
f(x) = x-2 g(x) = 3x + 5 fog(x)? f(x)/g(x)
Naufal Reply
fog(x)= f(g(x)) = x-2 = 3x+5-2 = 3x+3 f(x)/g(x)= x-2/3x+5
diron
pweding paturo nsa calculus?
jimmy
how to use fundamental theorem to solve exponential
JULIA Reply
find the bounded area of the parabola y^2=4x and y=16x
Omar Reply
what is absolute value means?
Geo Reply
Chicken nuggets
Hugh
🐔
MM
🐔🦃 nuggets
MM
(mathematics) For a complex number a+bi, the principal square root of the sum of the squares of its real and imaginary parts, √a2+b2 . Denoted by | |. The absolute value |x| of a real number x is √x2 , which is equal to x if x is non-negative, and −x if x is negative.
Ismael
find integration of loge x
Game Reply
find the volume of a solid about the y-axis, x=0, x=1, y=0, y=7+x^3
Godwin Reply
how does this work
Brad Reply
Can calculus give the answers as same as other methods give in basic classes while solving the numericals?
Cosmos Reply
log tan (x/4+x/2)
Rohan
please answer
Rohan
y=(x^2 + 3x).(eipix)
Claudia
is this a answer
Ismael
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Practice Key Terms 9

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Source:  OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
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