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
VARVARA [1.3K]
3 years ago
12

Each of the 12 cards shown has a number and a color or pattern. Each card is equally likely to be drawn. Find each probability.

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

Answer:

A) P(stars) = 1/3

B) P(odd)= 4/7

C)P(solid grays or stars or striped)= 1

D)P(1,4 or 7)= 3/7

E)P(not striped)= 2/3

Step-by-step explanation:

Given:

sample set contains 1-7 solid gray, 1-7 stars and 1-7 striped cards

Let solid gray be x

stars be y

striped be z

then sample set be

1x,2x,3x,4x,5x,6x,7x,

1y,2y,3y,4y,5y,6y,7y,

1z,2z,3z,4z,5z,6z,7z

total number of cards in sample set =21

Now

a)Finding probability of stars

Number of star cards in above sample set = 7

P(stars)= 7/21

     P(y)=1/3

b)Finding probability of odd

Number of odd cards in above sample set = 12

P(odd)= 12/21

          =4/7

c)Finding probability of solid grays or stars or striped

P(solid grays or stars or striped) = P(x or y or z)

                                                      =P(x U y U z)

As the events are mutually exclusive

P(x U y U z)= P(x)+P(y)+P(z)

now P(x)= 1/3

P(y)=1/3

P(z)=1/3

P(x U y U z) = 1/3 + 1/3 + 1/3

                   = 3/3

                   =1

d)Finding probability of 1,4 or 7

Number of 1,4 or 7 cards in above sample set = 9

P(1,4 or 7) = P(1 U 4 U 7)

As the events are mutually exclusive

P(1,4 or 7) = P(1) + P(4) + P(7)

P(1)= 3/21

     =1/7

P(4)= 3/21

     =1/7

P(7)= 3/21

     =1/7

P(1,4 or 7)= 1/7 + 1/7 + 1/7

               =3/7

e)Finding probability of not striped

Number of not striped cards in above sample set = 14

P(not striped)= 14/21

                      = 2/3 !

You might be interested in
Match the base to the corresponding height.
Sergio039 [100]

The first base matches the second height

The second base matches the first height

The third base matches the third height

<h3>Base and height of a triangle  </h3>

From the question, we are to match the base to the corresponding height

In a triangle, the height of the triangle is perpendicular to the base.

Applying this in the given diagram,

The first base matches the second height

The second base matches the first height

The third base matches the third height

Learn more on Base and height of a triangle here: brainly.com/question/17154315

#SPJ1

5 0
2 years ago
The sale price of an item is 0.75 the original price of the item, x. Which statement explains why both 34x and 0.75x can find th
defon

Answer:

B

Step-by-step explanation:

34x and 0.75x are not the same expression.

8 0
3 years ago
Read 2 more answers
4.3/2.5 = x/4 what is the proportion
Inga [223]
X/4 = 4.3/2.5
x/4 = 1.72
x = 1.72 x 4
x = 6.88
7 0
3 years ago
Given m|n, find the value of x and y.
galben [10]

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

5 0
3 years ago
PLEASE HELP IMAGE BELOW
gtnhenbr [62]

Answer:

Q1) ans-16%

Q2) ans-50%

Q3) ans- 16%

Q4) yes, I think the question 3 and 1 are same

5 0
2 years ago
Other questions:
  • !!PLEASE HELP!! Stuck on this and need some help. !!40PTS!!
    13·1 answer
  • From be the degree measure of angle r
    9·1 answer
  • The sum of two and the quotient of a number x and 5
    14·1 answer
  • Look at the PDF and look answer the question, pls do explain
    10·2 answers
  • What is 34 percent of 57
    15·1 answer
  • Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include an equa
    7·1 answer
  • TODAY ONLY: Towels are 30% off at the Towel Emporium. If our total before discount was $99.30, what is the price we will pay?
    15·1 answer
  • Ab + a - b<br> when a = 3, and b = 7
    13·2 answers
  • How many fifths are there in 4 wholes? (see the illustrate given)​
    9·1 answer
  • Pls help me
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!