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
Yuki888 [10]
3 years ago
6

You have a standard deck of playing cards from which you randomly select a card. Event D is getting a diamond and Event F is get

ting a face card (jack, queen, or king). What is the probability that a face card selected is a diamond?
Mathematics
1 answer:
ruslelena [56]3 years ago
5 0
We randomly select one card from 52, so there are 52 outcomes and:

\overline{\overline{\Omega}}=52

We also know, that there are 4\cdot3=12 face cards in a standard deck (\overline{\overline{F}}=12) and only three of them are diamonds, so

\overline{\overline{D\cap F}}=3

With this informations, we can calculate our probability:

P\left(D|F\right)=\dfrac{P\left(D\cap F\right)}{P(F)}=\dfrac{\frac{3}{52}}{\frac{12}{52}}=\dfrac{3\cdot52}{52\cdot12}=\dfrac{3}{12}=\boxed{\frac{1}{4}}
You might be interested in
Does anyone know how to get more points in khan academy mastery challenge??
vaieri [72.5K]

Answer:

I would say getting all the them right.

Step-by-step explanation:

There isn't really a way to get more points unless you're getting the questions all correct- So I would say just grind those points!

6 0
2 years ago
Read 2 more answers
Hi! Please help me, will mark brainliest!
PIT_PIT [208]

Answer:

p(t) = 0 for t = 1

p(t) = 1 for t = 1/8 = 8^-1

Step-by-step explanation:

the graph you will have to do yourself.

just go there and type in

-  log_{8}(x)

well, don't type "log" in letters.

you start by typing the "-" sign, and then you need to look up the functions by clicking on the "funcs" button and look for the log functions .

pick the

log_{a}

option. and then simply enter 8 as the first parameter in the {} brackets and x as the second in the () brackets.

and then you see.

any logarithm is 0 for x (or t) = 1.

because any a⁰ = 1.

and the logarithm gives you that exponent of the base number that leads to the given x value.

in other words : a logarithm is the inverse function of an exponential function.

the exponential function is

y = a^x

and the logarithm then determines

x =  log_{a}(y)

that is all.

and

-  log_{8}(x)  = 1

means that the logarithm itself delivered -1.

and 8^-1 = 1/8

so, p(t) = 1 for t = 1/8

5 0
2 years ago
A square garden has a side length of 11 meters. What is the area of the garden? What is the perimeter?
Talja [164]

Answer:

<em>Area</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>garden</em><em>=</em><em>1</em><em>2</em><em>1</em><em> </em><em>square</em><em> </em><em>meter</em>

<em>perimeter</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>garden</em><em>=</em><em>4</em><em>4</em><em> </em><em>meter</em>

Step-by-step explanation:

Area of a square=side*side

=11*11

=<u>1</u><u>2</u><u>1</u><em><u>s</u></em><em><u>q</u></em><em><u>u</u></em><em><u>a</u></em><em><u>r</u></em><em><u>e</u></em><em><u> </u></em><em><u>meter</u></em>

Perimeter of a square garden=side*4

=11*4

=44 m

6 0
3 years ago
Read 2 more answers
What is -3y = 12+3x?<br>m=<br>y=​
lana66690 [7]

Step-by-step explanation:

-3y=12+3x

-y=4+x

y=-4-x and m which is the gradient is the coefficient of x which is -1, therefore m=-1

4 0
3 years ago
Read 2 more answers
Thrifty Supply Store normally sells candy bars for $0.59. Today they are running a special 2 candy bars for $0.99. How much woul
Black_prince [1.1K]

Here is the solution:

 

0.59 * 10 = $5.90

0.99 * 5 = $4.95

$5.90 - $4.95 = $0.95

 

You would save 0.95$ if you bought 10 candy bars at the sale price rather than at the regular price. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

7 0
4 years ago
Other questions:
  • What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?
    6·1 answer
  • 2 friends share 3 fruit bars equally. How much does each friend get?
    5·2 answers
  • Which expression is equivalent to 13-(-21)
    9·1 answer
  • George makes $12 an hour and worked 35 hours this week. how much did he earn?​
    12·2 answers
  • What does number does i turn into
    5·1 answer
  • The cost to a store for a box of cereal is $2.50. The store is selling the box of cereal for $3.50. What is the percent of marku
    6·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    13·2 answers
  • Math work pls help :)​
    9·1 answer
  • Q1. Find the measure of angle 1. Show your work.
    14·1 answer
  • Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in eac
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!