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
Anna11 [10]
3 years ago
13

a card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is choose . what is a q

ueen probability that the first card chosen is a queen and the second is a jack
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0
Hey!

Experiment 1: A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is chosen. What is the probability that the first card chosen is a queen and the second card chosen is a jack?

Analysis: The probability that the first card is a queen is 4 out of 52. However, if the first card is not replaced, then the second card is chosen from only 51 cards. Accordingly, the probability that the second card is a jack given that the first card is a queen is 4 out of 51.

Conclusion: The outcome of choosing the first card has affected the outcome of choosing the second card, making these events dependent.

Definition: Two events are dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.

Now that we have accounted for the fact that there is no replacement, we can find the probability of the dependent events in Experiment 1 by multiplying the probabilities of each event. Experiment 1: A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is chosen. What is the probability that the first card chosen is a queen and the second card chosen is a jack?

Probabilities:

<span><span>P(queen on first pick) =  4 </span>52 <span>P(jack on 2nd pick given queen on 1st pick) =  4 </span>51 <span>P(queen and jack) =  4 <span> · </span> 4  =   16   =   4  </span><span>52512652663</span></span>

Experiment 1 involved two compound, dependent events. The probability of choosing a jack on the second pick given that a queen was chosen on the first pick is called a conditional probability.


Hope this helps! ~Nadia~

You might be interested in
ALGEBRA 1 HONORS EASY QUICK QUESTION
Mashutka [201]

Answer:

Step-by-step explanation:

Add 1+1

7 0
2 years ago
Jim has three times as many comic books as Charles. Charles has 2/3 as many books as Bob. Bob has 27 books. How many comic books
Aleksandr-060686 [28]
Jim has 35 comic books
5 0
3 years ago
Read 2 more answers
Jon places a dot on a coordinate plane at (-10,-4). he wants to place another across the y-axis and it must be 14 points away. W
lorasvet [3.4K]
The answer is (4,-4).
5 0
3 years ago
Read 2 more answers
1 What is the RANGE for the following graph?<br><br> PLEASE HELP 25 POINTS
xenn [34]
I cant see the picture
5 0
2 years ago
How much in Federal taxes does Curtis pay annually?
Hunter-Best [27]
The amount of Federal Taxes that Curtis pays annually would be 1538.68.

8 0
3 years ago
Other questions:
  • Find the solution of y = 6x + 1 for x = 5.
    10·2 answers
  • Plzzzzzzzzzzzzzzzzzzzzzz help asap
    6·2 answers
  • 79,81,84,88,100,88,82 what is the median of these numbets
    9·2 answers
  • Give the numerical coefficient of the term x <br>the numerical coefficient is?​
    10·1 answer
  • Which of the following options is a better purchase for a microwave? Option 1: A cash sale for $120 Option 2: $5 down with equal
    11·2 answers
  • Given the two figures are similar, calculate the value of v
    6·1 answer
  • I’m not sure how to do solving and graphing inequalities
    11·1 answer
  • Need help............
    8·1 answer
  • Edmund purchased a computer for $1,800 on a payment plan (month zero). Three months after he purchased the computer, his balance
    5·1 answer
  • Given that cos(x)=−0.65, what is cos(−x)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!