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
lisabon 2012 [21]
3 years ago
6

Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

the second card is a three, and the third card is a jack.
Mathematics
1 answer:
MrRissso [65]3 years ago
4 0

Answer:

4.82\cdot 10^{-4}

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

n-1=51

Therefore, the probability of drawing a three at the 2nd draw is

p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784

Then, at the third draw, the previous 2 cards are not replaced, so there are now

n-2=50

cards in the deck. So, the probability of drawing a jack is

p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08

Therefore, the total probability of drawing an ace, a three and then a jack is:

p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}

You might be interested in
We wish to study the quality of our production line. We take a random sample of 1000 widgets from our line. A quality rating was
mario62 [17]

Answer:

Average quality rating was 4.54+-0.00549

4 0
3 years ago
Eduardo enters bike races. He bikes 8 1/2 miles every 1/2 hour. Complete the final step in the table to find how far Eduardo bik
USPshnik [31]

Answer:

434343

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the social contract
hodyreva [135]
What do you mean by Social Contract?
5 0
3 years ago
At its highest​ point, the elevation of a county is 5,764 feet above sea level. At its lowest​ point, the elevation of the count
Feliz [49]

Answer:

Difference = 5757\ feet

Step-by-step explanation:

Given

Highest\ Point = 5764\ feet

Lowest\ Point = 7\ feet

Required

Determine the difference between the points

The difference is calculated as follows:

Difference = Highest - Lowest

Difference = 5764\ feet - 7\ feet

Difference = 5757\ feet

8 0
3 years ago
How can you know if this equation is true?<br> 1/3+1/5=2/8=1/4
m_a_m_a [10]

Answer: This statement isn't true.

Step-by-step explanation: By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.

5 0
3 years ago
Other questions:
  • What are all the factors of 87? what are all the factor pairs for 87??
    13·1 answer
  • The product of two numbers is 65.Their difference is 8.Find these numbers.
    14·1 answer
  • Your brother lends you $125 at an annual interest rate of 25%. If you want to pay no more than $62.50 in simple interest, in how
    13·2 answers
  • Johnny wanted to buy a new video game that costs 65 dollars. It is on sale for 35% off. He will also have to pay 7% sales tax. P
    8·1 answer
  • What graph represents the inequality y≥2−2x?
    10·2 answers
  • They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order how many cheese pizzas will they order if they order
    11·2 answers
  • Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
    12·1 answer
  • Helppppopoop help help help
    12·2 answers
  • Solve the quadratic by factoring.<br> 4x2 – 13x + 7 = 4
    12·1 answer
  • Find the volume of the following shapes. Round to tenths and don’t forget the units. Show your work!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!