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
sweet-ann [11.9K]
1 year ago
11

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 3 the seco

nd time.
Mathematics
1 answer:
IceJOKER [234]1 year ago
8 0

Events

• A: an even number is rolled in the first time

,

• B: a number greater than 3 is rolled the second time

The probability of rolling an even number is:

\begin{gathered} P(A)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(A)=\frac{3}{6} \\ P(A)=\frac{1}{2} \end{gathered}

The probability of rolling a number greater than 3 is:

\begin{gathered} P(B)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(B)=\frac{3}{6} \\ P(B)=\frac{1}{2} \end{gathered}

Events A and B are independent, then the probability of one happening after the other is:

\begin{gathered} \text{ P(A and B) = }P(A)\cdot P(B) \\ \text{ Substituting with the values previously found:} \\ \text{ P(A and B) = }\frac{1}{2}\cdot\frac{1}{2} \\ \text{ P(A and B) = }\frac{1}{4} \end{gathered}

You might be interested in
A certain food has a gluten of 13mg of gluten per L of the food. What is the gluten ratio in microgram per millimeter?
mel-nik [20]
The gluten ratio is 13 μg/mL. There is avery complex formula. Do you need it?
3 0
3 years ago
Find the measures of the missing angles g, h, k, and m
Darina [25.2K]

Answer:

Angle g = 29 degrees

Angle h = 180-29 = 151 degrees

Angle k = 61 degrees

Angle m = 180 - 61 = 119 degrees

Step-by-step explanation:

6 0
2 years ago
Which segments are parallel?<br> Select each correct answer.<br> O EF<br> O AB<br> O GH<br> O CD
ikadub [295]
Is there an image for the question?
7 0
2 years ago
Read 2 more answers
What is the difference 1 1/2 - 3/4 ?
kaheart [24]

Answer:

19/4

Step-by-step explanation:

3 0
2 years ago
A chain 5 links long is joined to a chain 7 links long. How many links long is the resulting chain
Anna [14]

12 links long because 5 + 7 = 12

3 0
2 years ago
Read 2 more answers
Other questions:
  • A motor boat travels 130km in 5 hours going upstream. It travels 220km going downstream in the same amount of time. What is the
    6·1 answer
  • Solve for s. 23s+56s=21 Enter the answer, as a whole number or as a fraction in simplest form, in the box.
    8·2 answers
  • Which is a zero of the quadratic function f(x)=9x^2-54x-19?
    11·1 answer
  • REALLY NEED HELP ~20 points
    6·2 answers
  • Solve.<br><br>      z-5<br> ________= -1<br>       7<br><br> z=_____
    11·2 answers
  • Which of the folleing is a statistical question?
    9·1 answer
  • For questions 9-16 solve the inequality
    9·1 answer
  • Hamza decides to increase the prices of all items in his shop by 10%, Work out the new price of in item normally priced at £210
    12·1 answer
  • All Right. Let's see who is smart.
    6·2 answers
  • The cost of admission to the spring carnival was $39 for a group of 8 children and 3 adults. The admission was $43 for another g
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!