You are given a standard deck of 52 cards. Three cards are chosen at random with replacement. What is the probability of choosing an ace, a spade, and a four?

Answers

Answer 1
Answer:

Answer:

0.0288 = 2.88%

Step-by-step explanation:

First we need to know that in one standard deck of 52 cards we have 13 ace cards, 13 spade cards, and 4 four cards.

If we want a combination of ace, spade and four, we calculate the probability of each one, and then multiply them all:

The probability of getting an ace is 13/52 = 1/4

The probability of getting a spade is 13/52 = 1/4

The probability of getting a four is 4/52 = 1/13

As the order of our three cards doesn't matter, we have 3! (factorial of three) = 6 different ways of having a group of ace, spade and four, so our total probability will be multiplied by 6.

So, our probability is:

(1/4) * (1/4) * (1/13) * 6 = 6/208 = 3/104 = 0.0288 = 2.88%

Answer 2
Answer:

Answer:

Probability = 0.23

Step-by-step explanation:

Probability of picking it choosen those at random without replacement =Pr(ace) + Pr(spade)+Pr(a four)

Probability = 4/52 + 4/52 + 4/52

Probability= 3(4/52)

Probability = 0.23


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Suppose we want to choose 2 objects without replacement from the 4 colors red, blue, green, purple. How many ways can this be done, if the order of the choices matter?

Answers

Answer:

Number of ways = 6

Step-by-step explanation:

Given:

Total number of choices = 4

Taken object choices = 2

Find:

Number of ways

Computation:

Number of ways =  [4 × 3] / 2!

Number of ways = [4 × 3] / [2 × 1]

Number of ways = [12] / [2]

Number of ways = 6

Answer:

These are the awnsers to it!

1: 12

2. 6

What is negative 5/12 minus 7/9

Answers

-5/12 - 7/9 =-43/36
first find common denominators 36 so you multiply -5/12 by 3 and 7/9 by 4 to get -15/36-28/36 to get -43/36
either -1.194444444, or -43/36

Enzo is making a scale drawing of the rectangle below.A rectangle has a length of 8 centimeters and width of 5 centimeters.

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Answers

Answer:

Enzo is not correct because he did not multiply the length and width by the same factor.

I do not think Enzo is not correct because he did not multiply the length and width by the same factor.

he is making a  drawing of the rectangle below.

A rectangle has a length of 8 centimeters and width of 5 centimeters.

Suppose a new rectangle will have the length of 16 cm.  

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.

Answer:

Enzo is not correct because he did not multiply the length and width by the same factor.

Step-by-step explanation:

Consider the product P(x) = (3x2 - 6x + 2)(7x + 3).What is the numerical coefficient of the x term in P(x)?
Enter only a number for your answer.

Answers

Answer:

-4

Step-by-step explanation:

Notice that the only way to multiply 2 numbers from each of the polynomials and get an x term is to multiply a constant and an x term.

The only ways to do that is to multiply -6x by 3 and 7x by 2.

After you're done multiplying, just combine the 2 like terms:

-18x+14x

=-4x

Therefore, the coefficient of the x term is -4.

name the subset(s) of real numbers to which the number zero belongs. choose all that apply. a. irrational numbers b. integers c. whole numbers d. natural numbers

Answers

whole numbers is my opion

Final answer:

The subsets of real numbers to which the number zero belongs are integers, whole numbers, and natural numbers.

Explanation:

The subsets of real numbers to which the number zero belongs are b. integers, c. whole numbers, and d. natural numbers.

  1. Integers: Zero is an integer because it can be represented as a whole number without a fractional or decimal part.
  2. Whole Numbers: Zero is also a whole number because it is not a fraction or a decimal and can be represented as a positive or non-negative integer.
  3. Natural Numbers: Finally, zero is considered a natural number by some mathematicians, but not all. It is important to note that the inclusion of zero in the set of natural numbers is a matter of convention.

Learn more about Real Numbers here:

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What is the quotient (x^3 – 3x^2 + 5x – 3) ÷ (x – 1)?A. x^2 – 2x – 3
B. x^2 + 2x + 7
C. x^2 – 3x + 8
D. x^2 – 2x + 3

Answers

Answer is option D. Please see the pic for long division.