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
strojnjashka [21]
3 years ago
12

You roll a six-sided die twice. What is the probability of rolling a 3 and then a 5? A) 1 3 B) 1 6 C) 1 12 D) 1 36

Mathematics
2 answers:
Dominik [7]3 years ago
7 0

Answer: 1/36

Step-by-step explanation: In this problem, we're given that a number cube is rolled twice and we're asked to find the probability of rolling a 3 and a 5.

It's important to understand that the 2 rolls of the number cube are independent events because the result of 1 roll does not affect the result of the other roll.

To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.

So let's first find the probability of rolling a 3 with our first role of the number cube. We can find the probability of an event using the ratio below.

Number of favorable outcomes/total number of outcomes

Since there is only one way to roll a 3 and there are six possible outcomes 1, 2, 3, 4, 5, and 6, the probability of rolling a 3 is 1/6.

Next, we find the probability of rolling a 5 with our second role of the number cube which would also be 1/6 because each side is as likely to come up as another number.

Now, to find the probability of rolling a 3 and a 5, we simply multiply the probabilities. Multiplying across the numerators, 1 · 1 is 1 and multiplying across the denominators, 6 · 6 is 36.

This means the probability of rolling a 3 and then a 5 is 1/36.

Molodets [167]3 years ago
4 0

Answer:

D) 1/36

Step-by-step explanation:

You are trying to roll a 3 the first time, and then a 5 the second time. This means that order matters.

It is given to you, that you are rolling a standard die (6-sides). The dice is ordered in the following: 1, 2, 3, 4, 5, 6

The first time, you are rolling for a 3. Note that there is only one 3 in the sequence, so your chance of rolling a 3 is 1 out of 6: 1/6.

The second time, you are rolling for a 5. Note that there is only one 5 in the sequence, so your chance of rolling a 5 is 1 out of 6: 1/6.

Next, multiply the two fractions together to find the probability of rolling a 3 and then a 5:

1/6 x 1/6 = (1 x 1)/(6 x 6) = 1/36

D) 1/36 is your answer.

~

You might be interested in
Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. To the nearest tenth of a m
Brums [2.3K]

Answer:

Step-by-step explanation:

julia : 20 miles in 1.2 hrs = (20/1.2) = 16.67 miles per hr

katie : 20 miles in 1.6 hrs = (20 / 1.6) = 12.5 miles per hr

how much faster does julia ride then katie...

16.67 - 12.5 = 4.17 rounds to 4.2 miles per hr faster <==

4 0
3 years ago
What is 42 inches to 9 feet is a fraction in simplest form
hodyreva [135]
9 times 12 is 108. so 42/108=21/54
4 0
3 years ago
Draw a line representing the rise and a line representing the run of the line State the slope of the line in simplest form
amid [387]
Slope is -5/3
I hope this helps :)

8 0
3 years ago
56.53 &lt;, &gt;, or = 565.3
shtirl [24]
< the bigger number is facing the back of the arrow it points to the smaller number Example: 1<2
8 0
3 years ago
Can someone help me find the answer to these 3 problems if so thank you .
alexandr1967 [171]

Answer:

1. r+s²=49

2. pq²=24

3. -4xy-6x²+2x²y-6y= -54

Step-by-step explanation:

1. r+s²=0+7²=49

2. pq²=(6)(2)²=6(4)=24

3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)

                                = -24-6(9)+2(9)(2)-12

                                = -24-54+36-12

                                = -78+36-12

                                = -42-12

                                = -54

5 0
3 years ago
Other questions:
  • Edith is shopping for a new leather couch. Jordan’s Furniture has one that costs $3,000. However, this weekend she can get a 15%
    6·1 answer
  • On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distan
    6·1 answer
  • 8. Shenea bought 3 bottles of juice for $12. Write the rate as a
    7·1 answer
  • What is the mode for this set of data? 5,6,13,2,6,11,6,5,3,14
    7·2 answers
  • Two children, Ferdinand and Isabella, are playing with a water hose on a sunny summer day. Isabella is holding the hose in her h
    10·1 answer
  • What is the value of the digit in 2,135,789
    15·1 answer
  • a and b together can do a work in 10 days B and C together can do the same work in 15 days a b and c together can do the same wo
    9·1 answer
  • A) Mr. Ghale bought a secondhand scooter for R$ 1,40,000. He spent Rs 7,500 to
    15·1 answer
  • Write the square root for each number
    7·2 answers
  • If each Automated Teller machine card of a certain bank has to have 4different digits in its passcode, how many different possib
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!