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zlopas [31]
2 years ago
13

Rework problem 4 from section 3.2 of your text, involving sets E and F. Suppose for this problem that Pr[E]=1/12, Pr[F]=1/12, an

d Pr[E∩F′]=0/1
1) What is Pr[E|F]?
2) What is Pr[F|E]?

Mathematics
1 answer:
Korolek [52]2 years ago
3 0
The Venn Diagram that represents the problem is shown below

P(E|F) and P(F|E) are the conditional probability.

P(E|F) is given by P(E∩F) ÷ P(F) = ¹/₂ ÷ ¹/₂ = 1
P(F|E) is given by P(F∩E) ÷ P(E) = ¹/₂ ÷ ¹/₂ = 1

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the letters that spell Mississippi are each written on separate tiles lying face down on a table. a tile is selected at random,
Mars2501 [29]

Answer: The theoretical probability of choosing a tile with letter P =0.18


Step-by-step explanation:

Given word = MISSISSIPPI

Total number of letters in given the word = 11

Number of letter P in given word = 2

Let A be a event of choosing a tile with a letter P then

P(A) =Number of tiles with letter P / Total letters in given word

= 2 /11 = 0.18


6 0
1 year ago
destiny sells pencil cases for $5 each and mechanical pencils for $2 each at the school supply store. she sells p pencil cases a
Andrew [12]

Answer:

Step-by-step explanation:

5p + 2(p + 4) .......because pencil cases (p) sell for 5 bucks a piece....and mechanical pencils (p + 4), sell for 2 bucks a piece. She is basically selling 4 more mechanical pencils then she is pencil cases.

8 0
2 years ago
Six neighbors share 4 pies equally how much of a pie does each neighbor get
salantis [7]
Divide 4 by 6. Easier if you write it as a fraction: 4/6 This can be reduced to 2/3.   This means that each person gets 2/3 of a pie equally.
8 0
2 years ago
Read 2 more answers
12 is what percent of 300?
krek1111 [17]
The percent to 300 out of 12 is 144
6 0
2 years ago
(iii) Find the smallest whole number h such that<br>4704/h<br>is a cube number.<br>​
yan [13]

Answer:

h=588

Step-by-step explanation:

Given the fraction \dfrac{4,704}{h}

Consider its numerator and factor it:

4,704=2^5\cdot 3\cdot 7^2

You cann not take the cube root from 3, 7^2, 2^5, you can only take the cube root from 2^3, then the smallest whole number h such that \dfrac{4,704}{h} is a cube number is

h=2^2\cdot 3\cdot 7^2=4\cdot 3\cdot 49=588

When h=588,

\dfrac{4,704}{588}=8=2^3

6 0
1 year ago
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