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
stealth61 [152]
3 years ago
7

Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the pro

bability set function assigns 1/52 to each of the 52 outcomes. let a = {x: x is a jack, queen, or king}, b = {x: x is a 9, 10, or jack and x is red}, c = {x: x is a club}, d = {x: x is a diamond, a heart, or a spade}.
Mathematics
1 answer:
nikklg [1K]3 years ago
6 0
The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:

Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:

a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4
You might be interested in
If the salesperson earned a $1500 commission, what was the price of the car? Determine the price
dalvyx [7]

Answer:

it's 7500

Step-by-step explanation:

20% of 7500 is 1500. General tip, commission is usually 25%

7 0
3 years ago
1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch
kykrilka [37]
Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle. 

Thus, half the angle formed by the chord at the centre of the circle is given by:

\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2}  \\  \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o

Now, 

\sin60^o= \frac{9}{r}  \\  \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392

Therefore, the radius of the circle is 10.4 cm to 1 d.p.


Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o

Now, 

\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm


Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

\sin40^o= \frac{y}{10}  \\  \\  \\ \Rightarrow y=10\sin40^o=6.428

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.
3 0
3 years ago
Need help with number 1.
seropon [69]

Answer:

Your answer is E.

Step-by-step explanation:

8 0
3 years ago
Which statement is NOT true of mitosis?
Vilka [71]

Answer:

D, it is a way or dying cells can be replaced

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
-3 ¼ divided by -1/8
Marat540 [252]

Answer:

The answer is 26

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cac
    13·1 answer
  • Heeeeeelp please !!!!!!!!
    7·2 answers
  • PLEASE HELP!
    5·1 answer
  • I NEED THIS IN FIVE MINUTES.
    8·1 answer
  • Write the equation of the line with a slope of 3/2 that contains the point (-2,-4) .
    12·1 answer
  • The vertices of a triangle are A(1, –9), B(0, –3), C(–4, –5). Fine the length of each side. What type of triangle is triangle AB
    12·1 answer
  • After adding an 8-pound box with 6 identical boxes, the crate weighed 72 boxes
    15·1 answer
  • (40 points)
    6·2 answers
  • The coefficients corresponding to k= 0,1,2,…5, in the expansion of (x+y)^5 are_____
    9·1 answer
  • BRAINLIEST FOR THE RIGHT ANSWERRR<br><br> If useful, points are (1,0) (0,-4)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!