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
Lera25 [3.4K]
3 years ago
6

A bag contains 30 lottery balls numbered 1-30 a ball is selected replaced then another is drawn find each probability

Mathematics
2 answers:
iogann1982 [59]3 years ago
7 0
#1) 5/20
#2) 7/300
#3) 3/50
#4) 5/20

Explanation
For #1:
There are 15 even numbers out of 30.  Since it is replaced before drawing the second ball, there will be 15 odd numbers out of 30.  This gives us
15/30(15/30) = 225/900 = 5/20.

For #2:
There is 1 7 out of 30; then there are 14 numbers greater than 16 out of 30:
1/30(14/30) = 14/900 = 7/300

For #3:
There are 6 multiples of 5 out of 30; then there are 9 prime numbers out of 30:
6/30(9/30) = 54/900 = 3/50

For #4:
There are 15 even numbers out of 30; then there are still 15 even numbers out of 30:
15/30(15/30) = 225/900 = 5/20
almond37 [142]3 years ago
6 0

Answer:

Given : A bag contains 30 lottery balls numbered 1-30 a ball is selected replaced then another is drawn.

To find : Each probability  

1) p ( and even,then odd )  

2) p ( 7, then a number greater than 16)

3) p ( a multiple of 5, then a prime number )  

4) p ( two even number )

Solution :

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

1) There are 15 even numbers and 15 odd numbers.

Probability of getting even first then odd is

\text{P(even,then odd)}=\frac{15}{30}\times\frac{15}{30}

\text{P(even,then odd)}=\frac{225}{900}=\frac{1}{4}

2) Number greater than 16 out of 30 are 14.

Probability of getting 7 first then a number greater than 16 is

\text{P(7, then a number greater than 16)}=\frac{1}{30}\times\frac{14}{30}

\text{P(7, then a number greater than 16)}=\frac{14}{900}=\frac{7}{450}

3) Multiple of 5 - 5,10,15,20,25,30=6

Prime numbers - 2,3,7,9,11,13,17,19,23,29=10

Probability of getting a multiple of 5, then a prime number  is

\text{P(a multiple of 5, then a prime number )}=\frac{6}{30}\times\frac{10}{30}

\text{P(a multiple of 5, then a prime number )}=\frac{60}{900}=\frac{1}{15}

4) There are 15 even numbers.

Probability of getting  two even number is

\text{P( two even number)}=\frac{15}{30}\times\frac{15}{30}

\text{P( two even number)}=\frac{225}{900}=\frac{1}{4}

You might be interested in
If f is the function given by f(x)= integral from (4 to 2x) of sqrt(t^2-t)dt then f'(2) =?
sammy [17]
Hello,

f(x)= \int\limits^{2x}_4 {\sqrt{t^2-t} \, dt \\

 \dfrac{df(x)}{dx} = \dfrac{df(x)}{d(2x)} * \dfrac{d(2x)}{dx} =2* \sqrt{(2x)^2-2x} \\

f'(2)=2 * \sqrt{4^2-4} =2* \sqrt{12} =4 \sqrt{3}
3 0
3 years ago
Read 2 more answers
Can somebody please give me a detailed answer
Serjik [45]
Lets go ahead and calculate the area of each side; added together, this will give us the full surface area. First the base, which is 9 by 9 and a square. This means its area is 9*9, which equals 81. Next the triangles, which are all the same, so we only have to do it once and then add it 4 times at the end. The area of a triangle is (1/2)bh, so (1/2)(9)(7) = 31.5.

Finally, we just need to add the areas up.
81 + 31.5 + 31.5 + 31.5 + 31.5 = 81 + 4(31.5)
81 + 126 = 207 units^2
3 0
2 years ago
ANOTHER ONE, The graph of a linear function is shown.Which word descibes the slope?
Trava [24]

This is a negative graph because the graph go to the left with a negative slope. Y=-1/2x
5 0
3 years ago
The product of the ages of a man and his son is 160. In four years time, the man will be four times as old as his son. Find thei
kati45 [8]

Answer:

father = 32    s = 5 y/o

Step-by-step explanation:

f s = 160  ====>   s = 160/f

f+4 = 4 ( s+4)  

f + 4 = 4 (160/f +4)

f + 4 = 640/f + 16

f^2 + 4f = 640 + 16 f

f^2 -12f - 640 = 0      Use Quadratic formula to find  f =  32   then s = 5

3 0
2 years ago
Read 2 more answers
I need help solving this story problem.​
Lynna [10]

Answer:

The answer is B- 4 trout

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Triangle XYZ, with vertices X(-1, -3), Y(-1, -1), and Z(-3, -1), is translated 2 units right and one unit down to form triangle
    7·1 answer
  • Use a special triangle on the unit circle to determine the value of tan π/6.
    5·1 answer
  • Explain how this is wrong or right please thanks
    12·2 answers
  • What is twenty two times thirtythree
    8·2 answers
  • Step linear equation<br>-2a+6=18​
    7·1 answer
  • PLZZZZZZ NEED HELP!!!!!
    11·1 answer
  • 2] The band has a ratio of boys to girls of 5 to 4. There are 171 students in the band.
    11·1 answer
  • Please help me solve the problem. Thank you
    6·1 answer
  • PLEASE HELP I WILL MARK BRAINLIEST :))<br> Which graph has a maximum value at (1, 3)
    9·1 answer
  • What is the measure of ∠ B?<br> А. 35°<br> В. 125°<br> С. 55°<br> D. 65°
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!