1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nirvana33 [79]
3 years ago
7

An experiment consists of drawing one card from a bridge deck. The sample space contains 52 outcomes, one for each of the 52 car

ds. Suppose we assign a probability of 1 52 to each of the cards. Find the probability that the following happens. (a) A queen is drawn. (b) The card drawn is a king or a queen. (c) The card drawn is a heart. (d) The card drawn is a red card.
Mathematics
1 answer:
irina [24]3 years ago
8 0

Answer: a) \dfrac{1}{13}

b)\dfrac{2}{13}

c) \dfrac{1}{4}

d) \dfrac{1}{2}

Step-by-step explanation:

Formula for probability =\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}

The total number of cards in a deck = 52

a) Number of cards having queen =4

Then the probability that a queen is drawn =\dfrac{\text{No. of cards having queen}}{\text{Total cards}}

=\dfrac{4}{52}=\dfrac{1}{13}

c) Number of cards having King= 4

Then , the number of cards having a queen or king =4+4=8

Then the probability that a king or queen is drawn =\dfrac{\text{No. of cards having king or a queen}}{\text{Total cards}}

=\dfrac{8}{52}=\dfrac{2}{13}

c) Number of cards having heart = 13

Then the probability that a heart is drawn =\dfrac{\text{No. of cards having heart}}{\text{Total cards}}

=\dfrac{13}{52}=\dfrac{1}{4}

d) Number of red cards = 26

Then the probability that a red card is drawn =\dfrac{\text{No. of red cards}}{\text{Total cards}}

=\dfrac{26}{52}=\dfrac{1}{2}

You might be interested in
In order to determine Velocity, we need to know.. *
Gennadij [26K]

Answer:

All of the above.

Step-by-step explanation:

The way to calculate velocity is d/t, the displacement over time of travel. Hence, both of those are needed.

Finally, velocity also needs to know your direction, like 5 m/s East for example. Hence, all of the above are needed.

Hope this helped!

7 0
2 years ago
Show the steps to solve the system of equation. x-2y+3z=-4 , 3x+y-z=0 , 2x+3y-5z=1
Taya2010 [7]

Answer:

x= -1,  y = 6,  z = 3

Step-by-step explanation:

let me solve it with Gaussian Elimination

8 0
2 years ago
Describe the error in the subtraction shown below ​
Gemiola [76]

Answer:

-11x+12

Step-by-step explanation:

(x^2-4x+3)-(x^2+7x-9)

x^2-x^2-4x-7x+3-(-9)

-11x+3+9

-11x+12

8 0
2 years ago
Read 2 more answers
a student walks 8 steps east 6 steps northeast 9 steps north west what is her displacement? include magnitude and direction
kati45 [8]

The displacement is 18.03 steps, and the direction is 47.25°

<h3>How to get the displacement?</h3>

We know that displacement is the difference between the final position and the initial position.

We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.

First, the student moves 8 steps east, so she is at:

(0 + 8, 0)

Then she moves 6 steps northeast, so the new position is:

(6*cos(45°) + 8,  6*cos(45°))

Finally, she moves 9 steps due north, so we have:

(6*cos(45°) + 8,  6*cos(45°) + 9)

Then the final position is:

(12.24, 13.24)

So the displacement is:

D = (12.24, 13.24) - (0, 0) =  (12.24, 13.24)

The magnitude of the displacement is:

|D| = \sqrt{12.24^2 + 13.24^2} = 18.03

So the magnitude is 18.03 steps.

And the direction is given by the arctangent of the quotient between the y-component and the x-component:

\theta = Arctg(13.24/12.24) = 47.25 \°

If you want to learn more about displacements:

brainly.com/question/4931057

#SPJ1

8 0
2 years ago
The area of the triangle is 5.88 square centimeters.what is the length of the base.the heights is 2.1
Bas_tet [7]

Answer:

base = 5.6 cm

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 5.88 cm²

height = 2.1 cm

5.88 = 1/2 * base * 2.1

5.88 = 1.05 base

5.88 / 1.05 = base

base = 5.6 cm

4 0
3 years ago
Other questions:
  • Confused can someone help pls
    6·1 answer
  • Bill is in class of 15 boys and 35 girls. 40% of the students in class take the bus to school.How many students do not take the
    5·1 answer
  • Solve this system using elimination.<br><br> 3x+4y=5<br> 2x+3y=4<br><br> Show work please
    9·1 answer
  • PLEASE HELP
    8·1 answer
  • An amount of money that is deposited or borrowed that earns or is charged interest is called a what?
    15·1 answer
  • Use the exact values of the ratios and find the value of tan 45° + sin 30°​
    13·2 answers
  • 15 POINTS PLEASE HELP
    15·1 answer
  • Find the area of the shaded regions plzz asap ill give brainliest ​
    6·1 answer
  • Drag the correct symbol into the box to compare the expressions.<br> 62–22 Response area 4(6+2)
    12·2 answers
  • Envision geometry 2-4 lesson quiz answer key
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!