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
LuckyWell [14K]
3 years ago
11

Two cards are drawn at random from an ordinary deck of 52 cards. Determine the probability that both cards are jacks if a. the f

irst card is replaced before the second card is drawn.
Mathematics
1 answer:
ohaa [14]3 years ago
8 0

Answer:

With replacing

Assuming replacing for the first selection we have a total of 52 cards and 4 possible options and for the second selection since we put again the card again in the deck we have the same probability of selection for a jack. We can assume independence between the events and we got:

p = \frac{4}{52} *\frac{4}{52}= 0.0059

Without replacing

Assuming replacing for the first selection we have a total of 52 cards and 4 possible options and for the second selection since we don't put again the card again in the deck so we will have 3 possible options and 51 total cards. We can assume independence between the events and we got:

p = \frac{4}{52} *\frac{3}{51}= 0.0045

Step-by-step explanation:

For this case we assume that we have a standard deck of 52 cards

And we have 4 Jacks on the deck

With replacing

Assuming replacing for the first selection we have a total of 52 cards and 4 possible options and for the second selection since we put again the card again in the deck we have the same probability of selection for a jack. We can assume independence between the events and we got:

p = \frac{4}{52} *\frac{4}{52}= 0.0059

Without replacing

Assuming replacing for the first selection we have a total of 52 cards and 4 possible options and for the second selection since we don't put again the card again in the deck so we will have 3 possible options and 51 total cards. We can assume independence between the events and we got:

p = \frac{4}{52} *\frac{3}{51}= 0.0045

You might be interested in
Whats 126545 x 14569865 x 45645158 x 56453258?
GrogVix [38]
The answer is 4.75099138998831 to the 27th. :)
6 0
3 years ago
Read 2 more answers
While preparing for a morning conference, principal Corsetti is laying out 8 dozen bagels on square plates. Each plate can hold
timofeeve [1]

Answer:

Step-by-step explanation:

We have 8 dozen bagels, or 8*12=96 bagels.  Each plate can hold 14 bagels, so we have enough bagels to fill 96/14=about 6.86 plates.  However, we cannot have a fraction of a plate, so we round up to have a total of seven plates.  To fill all seven plates fully, 7*14=98 bagels would be needed, which is two more than we have.

To summarize, Mr. Corsetti has seven plates of bagels, and would need two more bagels to fill the last one up.

7 0
3 years ago
An ant brain has approximately 300,000 brain cells. If an army ant colony consists of 75,000 members, how many brain cells do th
irina [24]

Answer:

22500000000

Step-by-step explanation:

75,000 times 300,000 equals 22500000000

4 0
3 years ago
How can you find the side of a triangle only using angles 33 degrease, 49 degrees, and 98 degrees, and one side which is 100m. I
kumpel [21]

Answer:

72.17 m to the nearest hundredth.

Step-by-step explanation:

It is sin not cos.

We use the Sine Rule to do this

a / sin A = b / sin C = c / sin C.

Here we have:

100 / sin 49 =  x / sin 33

x =  100 * sin 33 / sin 49

= 72.17 m.

3 0
3 years ago
Read 2 more answers
How many groups of 100 can you take out of 941 when diving by 3?
Semenov [28]

Answer:

300 times

Step-by-step explanation:

when you divide 941 by 3, you have to divide it into the hundreds place first.

3 fits into 900 (it's the hundreds place) 300 times

to check:

3 * 300 = 900  

3 0
3 years ago
Other questions:
  • Compute the exact value of the function for the given x-value without using a calculator. f(x) = 7x for x = 2
    11·2 answers
  • Robert stands atop a 1,380-foot hill. He climbs down, reaching the bottom of the hill in 30 minutes. What is Robert’s average ra
    11·1 answer
  • $0.72 times what equals 7.5%
    9·1 answer
  • Please give the answer in minutes.
    5·1 answer
  • ms.morgan is a science teacher. she founs that 30% of her 120 students are athletes. mr. gregory is a math teacher. he found out
    15·1 answer
  • Multi Step: Maya trains 5 days each week for a triathlon. In 5 weeks she logs 24.6 holes in the pool, 445.45 miles on the bike,
    7·1 answer
  • As part of her art project, Sarah is painting 2 square
    13·2 answers
  • Write the slope-intercept form of the equation<br> of each line<br> NEED HELP ASAP
    8·2 answers
  • The domain for f(x) is all real numbers ___ than or equal to 2
    8·1 answer
  • Suppose we roll one fair six-sided die, and flip six coins. what is the probability that the number of heads is equal to the num
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!