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
oksian1 [2.3K]
3 years ago
5

Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b

) the twentieth card is a spade; c) the last five cards are spades;
Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

  • 0.0374
  • 0.0010

Step-by-step explanation:

number of cards = 52

number of queen = 4

number of spades = 13

A) probability that the tenth card is a queen

drawn time (r) = 1

position of success(x) = 10th

p = 4/52

P( x,r,p) = x-1Cr-1*p^(r) * q^(x-r)

p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374

B) probability the twentieth card is a spade

x = 20

r = 1

p = 13 / 52

P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010

c)  The last five cards been spades

p(last five cards been spades )

p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5

 

You might be interested in
Form a linear equation in two variables for each of the following :
miv72 [106K]

Step-by-step explanation:

a. (0.60x + 0.70y)- 50 = 10

<=> 0.60x + 0.70y = 60

b. (x+y) = 5(x-y)

x+y=5x-5y

<=> 4x - 6y = 0

8 0
2 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,drag into the correct p
boyakko [2]

Answer:

\boxed{\sf \ \ 9x^2-18x-7 \ \  divided \ by \ (3x+1) \ is \ (3x-7) \ }

Step-by-step explanation:

Hello,

let's find a and b reals so that

9x^2-18x-7=(3x+1)(ax+b)

(3x+1)(ax+b)=3ax^2+(3b+a)x+b

we identify the terms in x^2

   9 = 3a

we identify the terms in x

   -18 = 3b + a

we identify the constant terms

   -7 = b

so ti goes with a = 9/3 = 3, b = -7

so we can write

9x^2-18x-7=(3x+1)(3x-7)

so 9x^2-18x-7 \ divided \ by \ (3x+1) \ is \ (3x-7)

hope this helps

8 0
3 years ago
1. A relation is plotted as a linear function on a coordinate plane starting at point C at (3, –2) and ending at point D at (–2,
vladimir2022 [97]
I think it’s C I’m not for sure
5 0
3 years ago
Three consectuive integers have a sum of 81
irina [24]
The three consecutive integers are 26, 27, 28

8 0
3 years ago
The graphs below have the same shape.What is the equation of the red graph ?
Sindrei [870]

Answer:

B. G(x) = x³ - 5

Step-by-step explanation:

The graphs below are the same shape. They share the same formula but different y-intercepts.

F(x) = x³ has a y-intercept of 0.

F(x) = x³ + 0

G(x) has a y-intercept of -5.

G(x) = x³ - 5

3 0
3 years ago
Read 2 more answers
Other questions:
  • Consider the expression 5/6(1/2x+6)-3x
    14·1 answer
  • In how many ways can 100 identical chairs be distributed to five different classrooms if the two largest rooms together receive
    6·1 answer
  • An HMO pamphlet contains the following recommended weight for women: "Give yourself 100 pounds for the first 5 feet plus 5 pound
    7·1 answer
  • Can I please get some help?? Use the diagram and the given information to find the unknown length.
    9·1 answer
  • What is (-1/2) - (-2/5) ? <br><br><br><br> help please .
    5·2 answers
  • Giving brainliest &amp; a thanks if you answer all of them
    14·1 answer
  • Please help with all, I’ll mark brainliest as long as you tell me how you got those answers. :)
    14·2 answers
  • For what value(s) of k will the relation not be a function?
    11·1 answer
  • Which of the following functions best describes this graph? Will give brainliest to the most detailed answer!
    10·2 answers
  • Mr. Harris works in a pet store. The number of food pellets he puts in an aquarium is proportional to the number of fish in the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!