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
FromTheMoon [43]
3 years ago
13

From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is 21 21

21 21
Mathematics
1 answer:
ankoles [38]3 years ago
8 0

Answer:

Step-by-step explanation:

We know that between 1 to 10 there are 5 even and 5 odd numbers.

We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards

Let´s check all this combinations

Case 1: When all 4 numbers are even:  

We are going to take 4 of the 5 even numbers in the box so we have

5C4=5

Case 2: When all 4 numbers are odd:  

We are going to take 4 of the 5 odd numbers in the box, so we have

5C4=5

Case 3: When 2 are even and 2 are odd:

We are giong to take 2 from 5 even and odd cards in the box so we have

 

5C2 * 5C2

Remember that we obtain the probability from

\frac{Number-of-favourable-Outcome}{Total-number-of-outcomes}

So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:  

We are taking 4 of the 10 cards:

10C_4=210

Hence we have that the probability that their sum is even

\frac{5+5+100}{210}=\frac{11}{21}

You might be interested in
How can this quadrilateral be classified? Select from the drop-down menus to complete the statements. This quadrilateral has Cho
Ilia_Sergeevich [38]

Yes, it can since it is parallel.

7 0
3 years ago
Helpppppppp due tomarro need help ver easy
Ksju [112]

E. -16.8

F. 4.6

G. -28

H. 3.6

6 0
3 years ago
Read 2 more answers
Investments historically have doubled every 9 years. If you start with a $2000 investment how much money would you have after 54
aleksandrvk [35]
You would end up having $12,000 at that rate since 54 divided by 9 is 6
6 0
3 years ago
Read 2 more answers
A large snowfall of 45 inches fell on Buffalo if one third of the snow melts each day, how much snow will remain
Crank

Answer:

Step-by-step explanation:

45/3=15

15" of snow melts each day, so after day 1 30" of snow will remain, after day 2 15" will remain and after day 3 all snow will be gone.

5 0
3 years ago
how many legs do 10 people have? if two people dont have legs. one person has 3 legs and one person has one leg. and mary has a
Ganezh [65]
So here is the answer. Normally, 10 people have 20 legs since each person has 2 legs each. But given the scenario that two people don't have legs, this would mean 20 minus 4, is 16 legs. Then one person has 3 legs, 16 plus 3 and it is 19. And then, another person has one leg, 19 plus 1 is 20. Therefore, the total legs would still be 20. Hope this helps. The dog does not count.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Phil baked two kinds of pies. Each pie pan was the same size. He served 1/2 of the blueberry pie. He served 1/4 of the apple pie
    8·2 answers
  • What is the decimal equivalent of 8/32
    7·2 answers
  • In triangle RSW, line segment RW is a median and is equal to 27 cm. What is the length of RX?
    6·1 answer
  • Without actually solving the equation, explain why the equation √(x+1 + 2=0 has no solution.
    10·1 answer
  • Re-write this subtraction as an ADDITION of signed numbers. 3 − 7
    8·2 answers
  • a caterer charges $120 fo cater 15 people and $200 for 25 people. Write an equation in slope-intercept form to model thus situat
    7·1 answer
  • FREE BRAINLEST Reagan has a rectangular bedspread that measures 238 centimeters by 435 centimeters. She wants to sew a fringe ar
    5·2 answers
  • Dan drove 737 miles in 11 hours. At the same rate, how many miles would he drive in 13 hours?​
    9·2 answers
  • According to the graph, what is the value of the constant in the equation
    5·1 answer
  • I need help plish k squared minus 11
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!