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
babymother [125]
3 years ago
13

One card is drawn at random from a deck of 52 cards. The first card is not replaced, and a second card is drawn. (Enter your pro

babilities as fractions.)
Required:
a. Find the probability that both cards are clubs.
b. Find the probability that the first card is a spade and the second is a club.
Mathematics
1 answer:
andriy [413]3 years ago
3 0

Answer:

We have a 52 card deck:

a. Find the probability that both cards are clubs.

The probability of drawing a club will be equal to the quotient between the number of clubs in the deck divided by the total number of cards in the deck.

We initially have 13 clubs and 52 cards, then the probability of drawing a club in the first draw is:

p1 = 13/52.

Now the probability of drawing a club in the second draw will be:

p2 = 12/51

Where each number is decreased by one because we already drew a card, and that card was a club.

Then the probability of both events happening will be equal to the product of the individual probabilities:

P = p1*p2 = (13/52)*( 12/51) = 0.059

b. Find the probability that the first card is a spade and the second is a club.

Same as before, the probability of first drawing a spade is:

p1 = 13/52

And the probability of drawing a club in the second draw will be:

p2 = 13/51

This case differs from the prior one because for the second draw we have 13 clubs in the deck, and as we already drew one card (that was not a club) the total number of cards in the deck is 51.

Now the joint probability will be:

P = p1*p2 = (13/52)*(13/51) = 0.064

You might be interested in
A card is selected from a standard deck of 52 cards . what are the odds of selecting a red 9 ?
krok68 [10]
B. 1:13 is the answer hope it helps
8 0
2 years ago
Read 2 more answers
What is the last Fortnite Bundle that's been available for sale as of 23rd November 2019?
ololo11 [35]

Answer:

b

Step-by-step explanation:

i am not that good at it but here you go

3 0
3 years ago
Read 2 more answers
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying th
Cerrena [4.2K]

Answer:

I think it would be 25m + 10b = 400

6 0
3 years ago
Absalom states that 0 is a rational number. Which is a correct explanation for this statement? The number 0 is a whole number, w
lubasha [3.4K]
<span>0 is a natural number, which is part of the rational numbers.</span>
8 0
3 years ago
Read 2 more answers
Please help with this question
goldfiish [28.3K]
Second answer box, try that
3 0
3 years ago
Other questions:
  • Let f(x)=2x+2. solve f^-1(x) when x=4
    14·1 answer
  • What does the intersection of two coplanar lines form?
    15·2 answers
  • A fuel company charges $120 for an annual fee and $125 a month for 12 months. What's the total cost of fuel for 12 months?
    12·2 answers
  • What is the area of this parallelogram
    8·1 answer
  • Mrs mccarthy has 2 separate 7 foot boards she needs 11 inches long how many will she have if she has 2 boards
    14·1 answer
  • The 102nd floor of the sears Tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground.How ma ny yards a
    13·1 answer
  • Definition of order or operations
    10·2 answers
  • Comparing Rational Numbers
    5·1 answer
  • Select all of the following that can be a counterexample for the statement below.
    10·1 answer
  • What is tan(B)?<br> 13<br> 5<br> B<br> 12<br> ?<br> tan(B) =<br> Enter
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!