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
jarptica [38.1K]
3 years ago
8

A standard deck of cards has 52 cards, 4 of each type (Ace, King, Queen, Jack, 10,...,2). From a well-shuffled deck, you are dea

lt a hand of 5 cards (without replacement).
(a) What is the probability that you are dealt at least one face card (that is a king, queen or jack)?
(b) What is the probability that you are dealt with both; at least one ace and at least one face card?
Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answer:

a)%85,5

b)%92,2

Step-by-step explanation:

a) To determine the probability of getting a hand with at least one face, we need to calculate the probability of the hand without any face firstly.

(36/52)*(35/51)*(34/50)*(33/49)*(32/48)=0,145

Then, we need to deduct this value from the probability 1

1-0,145=0,855

The probability of the hand with at least one face is %85,5.

b)To determine the probability of a hand with at least one ace and face we will track the same road again.

(32/52)*(31/51)*(30/50)*(29/49)*(28/48)=0,0775

Then, we need to deduct this value from the probability 1

1-0,0775=0,922

The probability of the hand with at least one ace and one face is %92,2.

You might be interested in
I need some help quick:(
Fynjy0 [20]
The answer is C because that's is a 90 degree angle. So you just subtract 70 from 90.
3 0
2 years ago
Read 2 more answers
A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space in
ra1l [238]

Answer:

4m X 6m

Step-by-step explanation:

This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

8 0
3 years ago
Of the 1,640 students enrolled at a school, 50% come to school by bus, 35% come by car, and the rest of the students walk home.
ehidna [41]
So first we need to find what percent of the students walk to school. 

50 + 35 = 85% don't walk leaving only 15% that walk to school, 

To find the 15% percent that DO walk we multiply .15 by the total number of people. 

.15 x 1640 = 246 people walk to school 
3 0
3 years ago
Read 2 more answers
Find the lowest terms<br> fraction that's equal<br> to 0.71.
Rudik [331]
71/100 is the lowest the fraction can get
7 0
3 years ago
Two parallel lines are crossed by a transversal. Horizontal and parallel lines y and z are cut by transversal x. At the intersec
ruslelena [56]

Those two angles have the same measure, so you have

2k+11=131 \iff 2k=120 \iff k=60

3 0
3 years ago
Read 2 more answers
Other questions:
  • I have four numbers that are 5, 6, 8, 10 which three of these numbers form a right triangle
    15·1 answer
  • Which of the following expressions is equivalent to the radical expression?
    13·1 answer
  • "Which diagram below shows the first step in parallel line construction on a point outside a line?
    15·2 answers
  • Y=-3x + 6<br> What is the slope? <br> And what would the points be on a graph
    12·2 answers
  • How many possible outcomes are there if you choose a card from a standard deck?
    5·1 answer
  • What is the future value of a loan of $2800 to be repaid in 8 months at an annual interest of 9%?
    12·1 answer
  • The grocery store is mile from Katie’s house and the gas station is 0.5 mile from Katie’s house.
    15·1 answer
  • 48 cookies; 50% increase​
    13·2 answers
  • What's a real number?
    8·2 answers
  • How do you write the sum of one-sixth of n and one-fifth of g
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!