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3 years ago

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Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is th

e theoretical probability that he will draw a red card on his 11th draw?

2 answers:

Effectus [21]3 years ago

7 0

Answer:

The probability would be 1/2 that he would draw a red color card.

Step-by-step explanation:

Marco draws a card from a standard deck of 52 cards and replace it 10 times. each time Marco draws 'with replacement' so it does not matter what cards were drawn previously so each draw result was independent.

In a standard deck of 52 cards there are 26 red cards.

p (drawing a red card on his 11th draw) = 26/52 = 1/2

therefore on his 11th draw 1/2 probability that he would draw a red color card

Andreas93 [3]3 years ago

3 0

4/5 chance is the answer to that

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Joe organised a large wedding.

Y_Kistochka [10]

Answer:

The total number of guests that were at the wedding was 276.

Step-by-step explanation:

Let the total number of guests at the wedding be, <em>N</em>.

The meal options are:

Beef, Chicken and Vegetarian.

It is provided that:

Proportion of guests who chose beef is, $\frac{1}{3}$ .

Proportion of guests who chose chicken is, $\frac{5}{12}$ .

According to the laws of probability, the sum of the probabilities of all the events of a sample space is 1.

Then the sum of probability of guests selecting beef, chicken or vegetarian should also be 1.

Compute the proportion of guests who chose vegetarian as follows:

P (Vegetarian) = 1 - P (Beef) - P (Chicken)

$=1-\frac{1}{3}-\frac{5}{12}$

$=\frac{12-4-5}{12}$

$=\frac{3}{12}\\\\=\frac{1}{4}$

So, the proportion of guests who chose vegetarian was $\frac{1}{4}$ .

It is also provided that the number of guests who chose vegetarian was 69, i.e. $\frac{1}{4}$ of N = 69.

Compute the value of N as follows:

$\frac{1}{4}\times N=69$

$N=69\times 4$

$=276$

Thus, the total number of guests that were at the wedding was 276.

7 0

4 years ago

In the diagram, the measure of angle 9 is 85°.

andrew11 [14]

Answer:

angle 11 they are vertically opposite.

6 0

3 years ago

Find the distance between (-5, -8) and (-1, -16). Group of answer choices 8.9 units 9.8 units 10.3 units 11 units

Marta_Voda [28]

The distance between (-5 , -8) and (-1 , -16) is 8.9 units ⇒ 1st answer

Step-by-step explanation:

The distance between points $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

To find the distance between two points

Chose one of the two point to be $(x_{1},y_{1})$
Use the other point to be $(x_{2},y_{2})$
Substitute them in the rule of the distance

∵ The first point is (-5 , -8)

∵ the second point is (-1 , -16)

∴ $x_{1}$ = -5 and $x_{2}$ = -1

∴ $y_{1}$ = -8 and $y_{2}$ = -16

- Substitute these values in the rule of the distance

∵ $d=\sqrt{(-1--5)^{2}+(-16--8)^{2}}$

∴ $d=\sqrt{(-1+5)^{2}+(-16+8)^{2}}$

∴ $d=\sqrt{(4)^{2}+(-8)^{2}}$

∴ $d=\sqrt{16+64}$

∴ $d=\sqrt{80}$

∴ d = 8.9 units

The distance between (-5 , -8) and (-1 , -16) is 8.9 units

Learn more:

You can learn more about the distance between two points in brainly.com/question/6564657

#LearnwithBrainly

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3 years ago

How do u write 25% as a fraction or mixed number?

mixas84 [53]

Answer:

fraction- 1/4

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3 years ago

Inverse function y = x2 − 18x.

Annette [7]

I hope this helps you

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3 years ago