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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

A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the comet after x days, for x in the interval 0 to 30 days, is given by g(x)=250,000csc(π30x). Graph g(x) on the interval [0, 35]. Evaluate g(5)  and interpret the information. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? Find and discuss the meaning of any vertical asymptotes.
Kaitlyn Reply
The sequence is {1,-1,1-1.....} has
amit Reply
circular region of radious
Kainat Reply
how can we solve this problem
Joel Reply
Sin(A+B) = sinBcosA+cosBsinA
Eseka Reply
Prove it
Eseka
Please prove it
Eseka
hi
Joel
June needs 45 gallons of punch. 2 different coolers. Bigger cooler is 5 times as large as smaller cooler. How many gallons in each cooler?
Arleathia Reply
7.5 and 37.5
Nando
find the sum of 28th term of the AP 3+10+17+---------
Prince Reply
I think you should say "28 terms" instead of "28th term"
Vedant
the 28th term is 175
Nando
192
Kenneth
if sequence sn is a such that sn>0 for all n and lim sn=0than prove that lim (s1 s2............ sn) ke hole power n =n
SANDESH Reply
write down the polynomial function with root 1/3,2,-3 with solution
Gift Reply
if A and B are subspaces of V prove that (A+B)/B=A/(A-B)
Pream Reply
write down the value of each of the following in surd form a)cos(-65°) b)sin(-180°)c)tan(225°)d)tan(135°)
Oroke Reply
Prove that (sinA/1-cosA - 1-cosA/sinA) (cosA/1-sinA - 1-sinA/cosA) = 4
kiruba Reply
what is the answer to dividing negative index
Morosi Reply
In a triangle ABC prove that. (b+c)cosA+(c+a)cosB+(a+b)cisC=a+b+c.
Shivam Reply
give me the waec 2019 questions
Aaron Reply
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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