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andrey2020 [161]
3 years ago
9

Suppose that Ayumi rolls a pair of fair six-sided dice. Let A be the event that the first die lands on 2 and B be the event that

the second die lands on 2. Using the sample space of possible outcomes below, answer each of the following questions. What is P(A) the probability that the first die lands on 2? What is P(B) the probability that the second die lands on 2? What is P(A and B) the probability that the first die lands on 2 and the second die lands on 2? Are events A and B independent?
Answer: 1/6 1/6 1/36 independent
I got tired of waiting but if you want the points for the questions have at it
Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

\frac{1}{6} ,\frac{1}{6} ,\frac{1}{36}\,,\,independent

Step-by-step explanation:

Given: Let A be the event that the first die lands on 2 and B be the event that the second die lands on 2.

To find:

P(A), the probability that the first die lands on 2

P(B), the probability that the second die lands on 2

P(A and B): the probability that the first die lands on 2 and the second die lands on 2

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/total number of outcomes

Sample space = \left \{ 1,2,3,4,5,6 \right \}

Total number of outcomes = 6

For P(A):

Number of favourable outcomes = 1

So,

P(A)=\frac{1}{6}

For P(B):

Number of favourable outcomes = 1

So,

P(B)=\frac{1}{6}

P(A and B) = P(A)P(B)=\left ( \frac{1}{6} \right )\left ( \frac{1}{6} \right )=\frac{1}{36}

Yes, A and B are independent events as happening of each of the event does not depend on the other.

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rosijanka [135]

Answer:

This system has no solution

Step-by-step explanation:

-(11+4y)+4y=-10

no solution

6 0
3 years ago
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If 9a + 9b + 9c = 59a+9b+9c=5 ,<br><br>what is 72a + 72b + 72c72a+72b+72c?
Gekata [30.6K]

Answer:

40

Step-by-step explanation:

9a + 9b + 9c = 5

Multiply the equation by 8

8*(9a + 9b + 9c )= 5*8

Distribute

72a +72b +72 c = 40

6 0
3 years ago
The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?
Leona [35]

Answer:

\large\boxed{V=2304\pi}

Step-by-step explanation:

The formula of a surface area of a sphere:

S.A.=4\pi R^2

R - radius

We have

S.A.=576\pi

Substitute and solve for R:

4\pi R^2=576\pi         <em>divide both sides by π</em>

4R^2=576          <em>divide both sides by 4</em>

R^2=144\to R=\sqrt{144}\\\\R=12

The formula of a volume of a sphere:

V+\dfrac{4}{3}\pi R^3

Substitute:

V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi

3 0
3 years ago
Rome - Test Player
dexar [7]

D is the answer.

Step-by-step explanation:

9 + 6 + 5 = 20

5/20 = 25%

I hope this helps, have a good day!

8 0
3 years ago
Andrea claims that any two cross sections of a cylinder that lie on parallel planes are congruent.
Elodia [21]

Answer:

A)No; any two cross sections of a cylinder that lie on planes parallel to the bases of the cylinder are congruent.

Step-by-step explanation: I had to answer it in class and got it right

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2 years ago
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