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
DanielleElmas [232]
3 years ago
5

A card is being drawn from a standard deck of playing cards. Find each probability.

Mathematics
1 answer:
EastWind [94]3 years ago
4 0
These are 6 questions and 6 answers.

To find each probability we will use the definition of probability:

Probability = number of positive outcomes / number of total possible outcomes

1) <span>P(Jack or ten)
</span>

<span>Answer: 2/13 ≈ 0.12
</span>

Justification:

i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.

ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes

 
iii) Probability, P


P = number of positive outcomes / number of total possible outcomes

P = 8 / 52 = 2/13 ≈ 0.15

<span> 2.P(red or black)
</span>

Answer: 1

Justification:

i) Positive outcomes

Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52


ii) Possible outcomes: 52 cards


iii) Probaility, P 

P = number of positive outcomes / number of total possible outcomes

P = 52 / 52 = 1

<span> 3.P(queen or club)
</span>

Answer: 4/13 ≈ 0.31

Justification:


i) Positive outcomes

There are 4 Queens.

There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.

But you cannot add all of them, because one club is the Quenn of Clubs.

Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16



ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 16 /52 = 4 / 13 ≈ 0.31


<span> 4.P(red or ace)
</span>

Answer: 7 / 13 ≈ 0.54


Justification:


i) Positive outcomes

Half of the cards are red: 26

There are 4 aces. 

Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28

ii) Possible outcomes: 52 different outcomes


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 28 / 52 = 7 / 13 ≈ 0.54

<span> 5.P(diamond or black)
</span><span>
</span>
Answer: 1/2 = 0.5

Justification:

i) Positive outcomes

There are 52 / 4 = 13 diamonds

There are 26 black cards.


All the diamonds are black cards.

Then, the number of different diamond or black cards is 13 + 26 - 13 = 26

ii) Possible outcomes: 52 different cards.

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 26 / 52 = 1/2 = 0.5

6.P(face card or spade)

Answer: 11/26 ≈ 0.42


Justification:

i) Positive outcomes

Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.

The spades are 13 cards.

Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22


ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 22 / 52 = 11 / 26 ≈ 0.42
You might be interested in
Someone should really help me with this question
AnnyKZ [126]

I believe the answer would be A

8 0
2 years ago
Find the radius of a sphere with a volume of 4.5π cubic centimeters.
ArbitrLikvidat [17]

Answer:

r≈1.02

Step-by-step explanation:

3 0
3 years ago
37 is ____ % of 148; 148 is ____ % of 37 fill in the blanks
soldier1979 [14.2K]

37 is 25% of 148; 148 is 400% of 37

Step-by-step explanation:

Let us solve the questions one by one

"37 is ____ % of 148"

Let x be the percentage

Then

37 = x\%\ of\ 148\\37 = 148x\\x = \frac{37}{148}\\x = 0.25

to convert in percentage, multiplying by 100

= 25%

"148 is ____ % of 37"

Let y be the percentage

then

148 = y\%\ of\ 37\\148 = 37y\\y = \frac{148}{37}\\y = 4

To convert into percentage, multiplying by 100

= 400%

Hence,

37 is 25% of 148; 148 is 400% of 37

Keywords: Percentage, percent

Learn more about percentage at:

  • brainly.com/question/7932185
  • brainly.com/question/788903

#LearnwithBrainly

4 0
3 years ago
China generated 237.188 billion kilowatt-hours (kWh) of wind energy in 2018. The population in China in 2018 was 1.379 billion.
maw [93]

Answer:

172 kilowatts.

Step-by-step explanation:

Energy : 237.188 billion = 237,188,000,000 = 2.37188 × 10¹¹

People : 1.379 billion = 1,379,000,000 = 1.379 × 10⁹

Divide both values : 2.37188 ÷ 1.379 = 1.72; 10¹¹ ÷ 10⁹ = 10² ⇒ 1.72 × 10² or 172 kilowatts.

5 0
1 year ago
If two lines intersect, then they intersect in exactly one _____ point. line. postulate. plane.
Rom4ik [11]

Answer: the answer is A. point

6 0
3 years ago
Other questions:
  • Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
    10·2 answers
  • If 3/4 of a certain number is equal to 41/2 find the number​
    13·1 answer
  • Hi please help me solve
    7·1 answer
  • The ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3. The smaller can has a surface area o
    6·1 answer
  • What is 7/4 as a mixed number?<br> a. 13/4<br> b. 11/4<br> c. 17/4<br> d. 3/4
    14·2 answers
  • Round 7897.5 point to the nearest hundredth to the second decimal place
    12·1 answer
  • What is the probability that a point chosen at random on the grid will lie in the shaded region?
    9·1 answer
  • What is vertex of the equation y = 3( x -2)2 + 4 ?<br><br> solve this for me plz
    15·1 answer
  • Two times a number added to another number is 25. Three times the first number minus the other number is 20. Find the numbers.
    8·1 answer
  • You can also put A. B. C. or D.<br><br>​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!