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
Ilya [14]
2 years ago
5

A single die is rolled one time. Find the probability of rolling a number greater than 2 or less than 5.

Mathematics
1 answer:
Ainat [17]2 years ago
6 0

Answer the correct option is D

Step-by-step explanation:

The die has six sides. The numbers on each side are 1, 2, 3. 4, 5 and 6. This means that the total number of possible outcomes is 6

The numbers greater than 2 are 3, 4, 5 and 6. It means that there are four numbers out of 6 that are greater than 2. So the probability of rolling a number greater than 2 is 4/6 = 2/3.

Again, the numbers lesser than 5 are 1,2,3 and 4 . there are 4 numbers. So the probability of rolling a number lesser than 5 is 4/6 = 2/3

But both probabilities are mutually non exclusive. It means that 3 and 4 is common. The probability of rolling a 3 and a 4 = 1/6 + 1/6 = 2/6 = 1/3.

Therefore, the probability of rolling a number greater than 2 or less than 5 would be 2/3 + 2/3 - 1/3 = 3/3 = 1

You might be interested in
Solve for x and graph the solution on the number line
podryga [215]
14 because i did the math and i was right
7 0
2 years ago
There are 10 balls in an urn, numbered from 1 to 10. If 5 balls are selected at random and their numbers are added, what is the
Kisachek [45]

Let B_i denote the value on the i-th drawn ball. We want to find the expectation of S=B_1+B_2+B_3+B_4+B_5, which by linearity of expectation is

E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]

(which is true regardless of whether the X_i are independent!)

At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.

P(X_i=x)=\begin{cases}\frac1{10}&\text{for }x\in\{1,2,\ldots,10\}\\0&\text{otherwise}\end{cases}

and so

E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5

Then the expected value of the total is

E[S]=5(5.5)=\boxed{27.5}

8 0
2 years ago
Which point is located at -0.135? <br> A<br> B <br> C or <br> D
Sergeu [11.5K]
D as you can see on the number line d is 1/3 of the way to -2
6 0
3 years ago
Find the area of the rhombus. 
Inessa [10]

A=24


Find the area by multiplying both diagonals and dividing them by 2. Like so: And you might be wondering how to do that. By using the pythagorean theorem and some simple addition, you could get the answer. One diagonal is 8 and the other is 6....so, 8x6=48....48/2=24


Please let me know if you have any other questions!


3 0
3 years ago
Read 2 more answers
Solve the system of equations and choose the correct ordered pair. 3x + 4y = 38 5x - 5y = -30
faust18 [17]
3x + 4y = 38 ( equation 1) ----> ×5 5x - 5y = -30 ( equation 2) ----> ×3 When you multiply eqn 1 by 5 you get, 15x + 20y = 190 And when you multiply eqn 2 by 3, you get, 15x - 15y = -90 Then you solve both equations by subtracting eqn 2 from eqn 1 15x + 20y = 190 15x - 15y = 90 Then 15x - 15x gets cancelled and 20y - (-15y) gives 35y and 190 - (-90) gives 280. So that gives 35y = 280 y = 8 And when you replace y = 8 in any of the two equations, x = 2
3 0
3 years ago
Other questions:
  • Simplify 5(29 + 3).<br> a) 10g + 15<br> Ob) 10g + 3<br> Oc) 78 + 8<br> d) 78 +3
    13·1 answer
  • Billy's plant is at least 2 inches tall. Graph all the possible heights of the plant.
    14·1 answer
  • Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants
    5·2 answers
  • The total width of three shortboards is 4.5 inches more than the width of two longboards. Write and solve an equation to find th
    12·1 answer
  • Aubrey played on the playground for 2 and a half hours how many minutes did she play
    14·1 answer
  • One hundred students were surveyed and asked if they participate in band and if they play a sport. The table below summarizes th
    7·1 answer
  • If Cp = Rs 660, Loss percent = 5% find Sp​
    11·1 answer
  • Is the following number rational or irrational?<br> 9.0<br> A: rational<br> B: Irrational
    6·1 answer
  • Someone please help me thank you
    8·1 answer
  • 4y+3=3y+x in slope intercept form, explain please <br> &lt;33
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!